M = 22, K = 13, Q = 256

M=22_K=13_Q=256_minh=6_ineq=8.txt is available here.

# minimum Hamming distance = 6
# activation inequality = 8
# active indices
a = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 17, 18], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 20, 21], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 13, 16, 19], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 15, 18, 21], [0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 13, 17, 21], [0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 14, 18, 19], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12, 13, 18, 20], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12, 14, 16, 21], [0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 13, 14, 16], [0, 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 19], [0, 1, 2, 3, 4, 5, 6, 9, 10, 12, 14, 17, 21], [0, 1, 2, 3, 4, 5, 6, 9, 11, 12, 13, 17, 20], [0, 1, 2, 3, 4, 5, 6, 9, 11, 12, 15, 16, 21], [0, 1, 2, 3, 4, 5, 6, 9, 11, 14, 15, 19, 20], [0, 1, 2, 3, 4, 5, 6, 10, 13, 14, 17, 18, 19], [0, 1, 2, 3, 4, 5, 6, 10, 14, 15, 16, 19, 21], [0, 1, 2, 3, 4, 5, 6, 11, 12, 13, 14, 15, 18], [0, 1, 2, 3, 4, 5, 6, 11, 14, 16, 17, 18, 20], [0, 1, 2, 3, 4, 5, 6, 12, 13, 14, 16, 19, 20], [0, 1, 2, 3, 4, 5, 6, 12, 13, 16, 17, 18, 21], [0, 1, 2, 3, 4, 5, 6, 12, 15, 18, 19, 20, 21], [0, 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 17, 19], [0, 1, 2, 3, 4, 5, 7, 9, 10, 12, 13, 14, 18], [0, 1, 2, 3, 4, 5, 7, 9, 10, 12, 15, 16, 17], [0, 1, 2, 3, 4, 5, 7, 9, 10, 13, 16, 20, 21], [0, 1, 2, 3, 4, 5, 7, 9, 10, 15, 18, 19, 20], [0, 1, 2, 3, 4, 5, 7, 9, 11, 12, 14, 16, 19], [0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 16, 18], [0, 1, 2, 3, 4, 5, 7, 10, 11, 12, 19, 20, 21], [0, 1, 2, 3, 4, 5, 7, 10, 14, 16, 17, 18, 21], [0, 1, 2, 3, 4, 5, 7, 11, 12, 14, 15, 17, 20], [0, 1, 2, 3, 4, 5, 7, 11, 13, 14, 18, 20, 21], [0, 1, 2, 3, 4, 5, 7, 11, 15, 16, 17, 19, 21], [0, 1, 2, 3, 4, 5, 7, 12, 13, 14, 15, 19, 21], [0, 1, 2, 3, 4, 5, 7, 12, 16, 17, 18, 19, 20], [0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 15, 16, 19], [0, 1, 2, 3, 4, 5, 8, 9, 10, 12, 14, 15, 20], [0, 1, 2, 3, 4, 5, 8, 9, 10, 12, 17, 18, 19], [0, 1, 2, 3, 4, 5, 8, 9, 11, 14, 16, 17, 21], [0, 1, 2, 3, 4, 5, 8, 9, 12, 13, 15, 17, 21], [0, 1, 2, 3, 4, 5, 8, 9, 13, 16, 17, 19, 20], [0, 1, 2, 3, 4, 5, 8, 9, 15, 16, 18, 20, 21], [0, 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17], [0, 1, 2, 3, 4, 5, 8, 10, 11, 12, 16, 18, 21], [0, 1, 2, 3, 4, 5, 8, 10, 13, 14, 15, 16, 18], [0, 1, 2, 3, 4, 5, 8, 10, 15, 17, 19, 20, 21], [0, 1, 2, 3, 4, 6, 7, 9, 10, 11, 16, 17, 21], [0, 1, 2, 3, 4, 6, 7, 9, 10, 12, 15, 20, 21], [0, 1, 2, 3, 4, 6, 7, 9, 10, 14, 15, 17, 19], [0, 1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 21], [0, 1, 2, 3, 4, 6, 7, 9, 11, 12, 15, 18, 19], [0, 1, 2, 3, 4, 6, 7, 9, 11, 13, 16, 19, 20], [0, 1, 2, 3, 4, 6, 7, 9, 12, 14, 16, 17, 20], [0, 1, 2, 3, 4, 6, 7, 9, 13, 15, 17, 18, 21], [0, 1, 2, 3, 4, 6, 7, 9, 14, 16, 18, 19, 21], [0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 15, 16], [0, 1, 2, 3, 4, 6, 7, 10, 12, 13, 17, 19, 20], [0, 1, 2, 3, 4, 6, 7, 10, 15, 16, 17, 18, 20], [0, 1, 2, 3, 4, 6, 7, 11, 12, 16, 18, 20, 21], [0, 1, 2, 3, 4, 6, 7, 11, 14, 17, 19, 20, 21], [0, 1, 2, 3, 4, 6, 7, 13, 14, 15, 16, 20, 21], [0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 17, 19, 20], [0, 1, 2, 3, 4, 6, 8, 9, 10, 12, 13, 16, 17], [0, 1, 2, 3, 4, 6, 8, 9, 10, 14, 16, 20, 21], [0, 1, 2, 3, 4, 6, 8, 9, 11, 12, 14, 15, 17], [0, 1, 2, 3, 4, 6, 8, 9, 12, 13, 14, 18, 19], [0, 1, 2, 3, 4, 6, 8, 9, 12, 15, 16, 19, 20], [0, 1, 2, 3, 4, 6, 8, 10, 11, 12, 15, 18, 20], [0, 1, 2, 3, 4, 6, 8, 10, 11, 14, 17, 18, 21], [0, 1, 2, 3, 4, 6, 8, 10, 13, 14, 15, 19, 20], [0, 1, 2, 3, 4, 6, 8, 11, 13, 14, 16, 17, 19], [0, 1, 2, 3, 4, 6, 8, 13, 17, 18, 19, 20, 21], [0, 1, 2, 3, 4, 6, 12, 14, 15, 16, 17, 18, 19], [0, 1, 2, 4, 5, 6, 8, 9, 13, 15, 16, 18, 19], [0, 1, 2, 5, 6, 7, 9, 10, 11, 13, 19, 20, 21], [0, 1, 2, 6, 7, 10, 11, 13, 14, 17, 18, 19, 20], [0, 1, 2, 6, 7, 10, 11, 13, 15, 16, 17, 20, 21], [0, 1, 2, 6, 8, 9, 11, 12, 13, 14, 15, 19, 20], [0, 1, 2, 6, 8, 12, 13, 14, 15, 17, 18, 19, 21], [0, 1, 4, 5, 7, 8, 9, 10, 11, 14, 16, 18, 19], [0, 1, 4, 5, 7, 8, 10, 11, 12, 14, 15, 16, 17], [0, 1, 4, 5, 7, 8, 10, 13, 16, 18, 19, 20, 21], [0, 1, 4, 5, 7, 8, 11, 12, 13, 14, 17, 18, 20], [0, 1, 4, 5, 8, 9, 10, 12, 13, 14, 16, 17, 20], [0, 1, 4, 5, 8, 9, 11, 13, 14, 15, 18, 19, 20], [0, 1, 4, 5, 10, 12, 15, 16, 17, 18, 19, 20, 21], [0, 1, 4, 6, 7, 8, 10, 12, 13, 14, 16, 17, 21], [0, 1, 4, 6, 7, 10, 14, 15, 16, 17, 18, 19, 21], [0, 1, 4, 6, 8, 10, 12, 14, 15, 16, 18, 19, 20], [0, 1, 4, 7, 9, 10, 13, 14, 15, 16, 17, 19, 20], [0, 1, 4, 7, 10, 11, 13, 14, 16, 17, 18, 20, 21], [0, 1, 5, 6, 7, 8, 9, 14, 15, 17, 18, 20, 21], [0, 1, 5, 6, 10, 11, 14, 15, 16, 17, 18, 19, 20], [0, 1, 5, 7, 8, 9, 10, 12, 13, 15, 16, 18, 19], [0, 1, 5, 7, 8, 10, 11, 15, 17, 18, 19, 20, 21], [0, 1, 5, 7, 9, 10, 11, 12, 13, 14, 15, 18, 21], [0, 1, 5, 7, 9, 12, 14, 15, 16, 17, 18, 19, 21], [0, 1, 5, 8, 9, 10, 11, 13, 14, 15, 16, 17, 21], [0, 2, 3, 4, 6, 7, 8, 9, 14, 15, 17, 20, 21], [0, 2, 3, 4, 6, 7, 8, 15, 16, 18, 19, 20, 21], [0, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 19, 21], [0, 2, 3, 4, 7, 8, 9, 10, 16, 17, 18, 20, 21], [0, 2, 3, 4, 9, 12, 13, 14, 15, 16, 19, 20, 21], [0, 2, 3, 5, 7, 8, 11, 12, 14, 16, 17, 18, 20], [0, 2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 19, 21], [0, 2, 3, 5, 7, 11, 12, 15, 17, 18, 19, 20, 21], [0, 2, 3, 6, 7, 8, 10, 13, 14, 16, 17, 19, 20], [0, 2, 3, 6, 7, 9, 10, 12, 13, 16, 17, 18, 21], [0, 2, 3, 6, 8, 10, 12, 13, 14, 15, 17, 20, 21], [0, 2, 3, 6, 9, 11, 12, 14, 16, 17, 18, 19, 21], [0, 2, 3, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20], [0, 2, 3, 7, 8, 9, 11, 13, 14, 16, 18, 20, 21], [0, 2, 4, 5, 6, 7, 8, 9, 10, 13, 15, 18, 20], [0, 2, 4, 5, 6, 7, 8, 9, 11, 12, 16, 18, 21], [0, 2, 4, 5, 7, 8, 9, 10, 14, 15, 16, 17, 21], [0, 2, 4, 5, 8, 9, 10, 11, 12, 15, 18, 19, 20], [0, 2, 4, 5, 8, 10, 11, 12, 14, 15, 17, 18, 21], [0, 2, 4, 5, 9, 10, 13, 14, 15, 17, 19, 20, 21], [0, 2, 4, 7, 8, 10, 11, 14, 15, 18, 19, 20, 21], [0, 2, 4, 8, 11, 12, 13, 14, 15, 16, 17, 19, 20], [0, 2, 5, 7, 8, 12, 13, 15, 16, 17, 18, 19, 20], [0, 2, 6, 7, 8, 10, 12, 13, 17, 18, 19, 20, 21], [0, 2, 7, 8, 9, 13, 14, 15, 17, 18, 19, 20, 21], [0, 2, 8, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21], [0, 2, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21], [0, 3, 5, 6, 7, 8, 9, 11, 15, 16, 17, 18, 20], [0, 3, 5, 6, 7, 9, 10, 11, 13, 15, 16, 17, 21], [0, 3, 5, 6, 7, 10, 11, 14, 15, 17, 18, 19, 21], [0, 3, 5, 7, 8, 10, 11, 12, 13, 14, 18, 20, 21], [0, 3, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18], [0, 3, 6, 7, 10, 11, 13, 14, 15, 16, 18, 19, 20], [0, 3, 6, 8, 9, 10, 11, 12, 14, 15, 18, 19, 20], [0, 3, 6, 9, 11, 12, 13, 15, 16, 18, 19, 20, 21], [0, 3, 7, 8, 9, 10, 11, 13, 15, 18, 19, 20, 21], [0, 4, 5, 6, 7, 9, 10, 11, 14, 15, 17, 18, 20], [0, 4, 5, 6, 8, 10, 11, 13, 14, 17, 18, 20, 21], [0, 4, 5, 6, 10, 11, 12, 13, 15, 17, 18, 19, 20], [0, 4, 5, 8, 10, 11, 12, 14, 15, 16, 19, 20, 21], [0, 4, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 18], [0, 4, 6, 7, 8, 10, 11, 13, 16, 17, 18, 19, 20], [0, 4, 6, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21], [0, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 20, 21], [0, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 19, 21], [0, 5, 6, 7, 10, 11, 12, 13, 14, 16, 17, 18, 21], [0, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20], [0, 5, 6, 8, 9, 11, 12, 13, 15, 16, 17, 18, 21], [0, 5, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 21], [0, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17, 19, 21], [0, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 20, 21], [0, 6, 7, 9, 10, 11, 12, 13, 14, 16, 19, 20, 21], [0, 6, 8, 9, 10, 13, 14, 16, 17, 18, 19, 20, 21], [1, 2, 3, 4, 5, 6, 8, 9, 12, 16, 18, 19, 21], [1, 2, 3, 4, 5, 8, 10, 12, 13, 15, 16, 17, 19], [1, 2, 3, 4, 5, 9, 12, 13, 15, 16, 18, 19, 20], [1, 2, 3, 4, 6, 7, 8, 9, 13, 14, 17, 19, 20], [1, 2, 3, 4, 6, 9, 11, 12, 15, 17, 19, 20, 21], [1, 2, 3, 4, 7, 9, 10, 12, 13, 14, 15, 19, 20], [1, 2, 3, 4, 7, 11, 12, 13, 14, 15, 16, 18, 19], [1, 2, 3, 4, 7, 11, 12, 13, 17, 18, 19, 20, 21], [1, 2, 4, 8, 10, 11, 12, 13, 14, 16, 17, 18, 21], [1, 2, 5, 6, 7, 8, 9, 10, 16, 17, 18, 19, 20], [1, 2, 5, 8, 9, 10, 12, 13, 16, 17, 19, 20, 21], [1, 2, 6, 8, 10, 11, 13, 14, 15, 16, 19, 20, 21], [1, 3, 4, 6, 10, 11, 12, 13, 14, 15, 16, 18, 20], [1, 3, 4, 6, 11, 13, 14, 15, 17, 18, 19, 20, 21], [1, 3, 4, 7, 8, 9, 10, 11, 12, 16, 17, 18, 21], [1, 3, 4, 7, 8, 11, 12, 13, 14, 15, 16, 20, 21], [1, 3, 4, 8, 9, 10, 11, 12, 13, 14, 16, 19, 21], [1, 3, 5, 6, 7, 8, 9, 11, 13, 14, 15, 20, 21], [1, 3, 5, 6, 7, 8, 9, 11, 13, 16, 17, 18, 19], [1, 3, 5, 6, 7, 9, 10, 13, 14, 15, 16, 18, 19], [1, 3, 5, 6, 7, 9, 12, 14, 16, 17, 19, 20, 21], [1, 3, 5, 6, 8, 9, 13, 14, 15, 16, 17, 19, 20], [1, 3, 5, 6, 8, 10, 12, 14, 15, 17, 18, 19, 21], [1, 3, 5, 6, 8, 11, 12, 13, 16, 18, 19, 20, 21], [1, 3, 5, 7, 8, 9, 10, 11, 12, 13, 17, 18, 20], [1, 3, 5, 7, 8, 9, 10, 12, 14, 16, 18, 19, 20], [1, 3, 5, 7, 8, 10, 11, 13, 14, 16, 19, 20, 21], [1, 3, 5, 7, 9, 10, 12, 13, 16, 17, 18, 19, 21], [1, 3, 5, 8, 9, 10, 11, 14, 15, 16, 18, 19, 21], [1, 3, 5, 8, 9, 12, 14, 15, 16, 17, 18, 20, 21], [1, 3, 5, 9, 10, 11, 12, 13, 15, 16, 18, 20, 21], [1, 3, 6, 7, 8, 10, 11, 12, 15, 16, 18, 20, 21], [1, 3, 6, 7, 9, 13, 15, 16, 17, 18, 19, 20, 21], [1, 3, 6, 7, 11, 12, 14, 15, 16, 17, 18, 19, 21], [1, 3, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20], [1, 4, 5, 6, 8, 9, 10, 11, 12, 16, 17, 18, 20], [1, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16, 19, 20], [1, 4, 5, 9, 10, 11, 12, 14, 15, 16, 17, 18, 21], [1, 4, 5, 10, 11, 12, 13, 14, 16, 17, 19, 20, 21], [1, 4, 6, 7, 8, 10, 11, 13, 14, 15, 18, 19, 20], [1, 4, 6, 7, 9, 10, 11, 12, 13, 14, 17, 18, 19], [1, 4, 7, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21], [1, 4, 8, 9, 10, 11, 14, 15, 16, 17, 19, 20, 21], [1, 4, 8, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21], [1, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 21], [1, 5, 6, 7, 9, 11, 12, 14, 15, 16, 17, 18, 20], [1, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17, 19, 21], [1, 5, 7, 8, 9, 10, 13, 14, 16, 17, 18, 20, 21], [1, 5, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20], [1, 6, 7, 8, 11, 12, 13, 14, 15, 17, 19, 20, 21], [1, 6, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21], [1, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21], [2, 3, 4, 5, 6, 8, 13, 14, 15, 16, 18, 19, 20], [2, 3, 4, 5, 7, 8, 10, 12, 13, 15, 18, 19, 20], [2, 3, 4, 6, 7, 8, 11, 12, 15, 16, 17, 20, 21], [2, 3, 4, 6, 9, 10, 11, 13, 15, 17, 18, 19, 21], [2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 19, 21], [2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 18, 19, 20], [2, 3, 5, 6, 7, 9, 10, 11, 12, 14, 15, 17, 19], [2, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, 18, 20], [2, 3, 5, 6, 7, 10, 12, 13, 14, 17, 19, 20, 21], [2, 3, 5, 6, 8, 9, 10, 11, 12, 16, 17, 18, 21], [2, 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 17, 20], [2, 3, 5, 7, 8, 9, 11, 14, 16, 17, 18, 19, 21], [2, 3, 5, 7, 10, 11, 12, 13, 14, 15, 17, 18, 21], [2, 3, 6, 10, 11, 12, 13, 15, 16, 17, 19, 20, 21], [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 21], [2, 4, 5, 6, 7, 8, 9, 13, 15, 17, 19, 20, 21], [2, 4, 5, 6, 7, 9, 11, 13, 16, 17, 18, 19, 21], [2, 4, 5, 6, 7, 10, 12, 13, 15, 17, 18, 19, 21], [2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 19, 21], [2, 4, 5, 7, 8, 9, 12, 14, 15, 16, 17, 18, 20], [2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 17, 20, 21], [2, 4, 5, 8, 11, 13, 15, 16, 17, 18, 19, 20, 21], [2, 4, 6, 8, 11, 12, 13, 14, 15, 18, 19, 20, 21], [2, 4, 7, 8, 9, 10, 11, 13, 15, 17, 18, 20, 21], [2, 5, 6, 7, 8, 12, 13, 14, 15, 16, 17, 20, 21], [2, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19], [2, 5, 7, 8, 9, 10, 12, 14, 15, 17, 18, 19, 21], [2, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20], [2, 5, 7, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21], [2, 5, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21], [2, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19], [2, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 20], [2, 6, 7, 8, 11, 13, 14, 16, 17, 18, 19, 20, 21], [3, 4, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21], [3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 18, 21], [3, 5, 6, 7, 8, 10, 11, 12, 14, 15, 19, 20, 21], [3, 5, 6, 7, 8, 10, 11, 13, 16, 17, 18, 20, 21], [3, 5, 6, 7, 9, 10, 11, 12, 13, 16, 18, 19, 20], [3, 5, 7, 8, 9, 11, 12, 13, 15, 17, 19, 20, 21], [3, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 20], [3, 6, 7, 8, 9, 11, 12, 14, 17, 18, 19, 20, 21], [4, 5, 6, 7, 8, 9, 10, 11, 14, 16, 18, 20, 21], [4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 21], [4, 5, 6, 8, 9, 10, 11, 14, 15, 17, 18, 19, 21], [4, 5, 6, 9, 10, 11, 12, 15, 16, 18, 19, 20, 21], [4, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 21], [4, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], [4, 6, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21], [5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18], [5, 6, 7, 9, 10, 11, 13, 14, 17, 18, 19, 20, 21], [5, 6, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], [7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21]]
# activation tensor and its vector representation are omitted.