M = 18, K = 13, Q = 256

M=18_K=13_Q=256_minh=4_ineq=46.txt is available here.

# minimum Hamming distance = 4
# activation inequality = 46
# 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, 10, 13, 14], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 16], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 16], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 16], [0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 16], [0, 1, 2, 3, 4, 5, 6, 7, 8, 13, 14, 15, 16], [0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 17], [0, 1, 2, 3, 4, 5, 6, 7, 9, 13, 14, 15, 17], [0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 16, 17], [0, 1, 2, 3, 4, 5, 6, 7, 10, 13, 14, 16, 17], [0, 1, 2, 3, 4, 5, 6, 7, 11, 13, 15, 16, 17], [0, 1, 2, 3, 4, 5, 6, 7, 12, 14, 15, 16, 17], [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 17], [0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 16, 17], [0, 1, 2, 3, 4, 5, 6, 8, 9, 13, 14, 16, 17], [0, 1, 2, 3, 4, 5, 6, 8, 10, 13, 14, 15, 17], [0, 1, 2, 3, 4, 5, 6, 8, 11, 14, 15, 16, 17], [0, 1, 2, 3, 4, 5, 6, 8, 12, 13, 15, 16, 17], [0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 16], [0, 1, 2, 3, 4, 5, 6, 9, 10, 13, 14, 15, 16], [0, 1, 2, 3, 4, 5, 6, 11, 12, 13, 14, 15, 16], [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 15, 17], [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 16, 17], [0, 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 17], [0, 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 14, 17], [0, 1, 2, 3, 4, 5, 7, 8, 10, 14, 15, 16, 17], [0, 1, 2, 3, 4, 5, 7, 8, 11, 13, 14, 15, 17], [0, 1, 2, 3, 4, 5, 7, 8, 12, 13, 14, 16, 17], [0, 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 15], [0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 14, 15, 16], [0, 1, 2, 3, 4, 5, 7, 10, 12, 13, 14, 15, 16], [0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 16], [0, 1, 2, 3, 4, 5, 9, 10, 11, 13, 14, 15, 17], [0, 1, 2, 3, 4, 5, 9, 10, 12, 13, 14, 16, 17], [0, 1, 2, 3, 4, 5, 9, 11, 12, 13, 15, 16, 17], [0, 1, 2, 3, 4, 5, 10, 11, 12, 14, 15, 16, 17], [0, 1, 2, 3, 4, 6, 7, 8, 9, 14, 15, 16, 17], [0, 1, 2, 3, 4, 6, 7, 8, 10, 11, 12, 13, 17], [0, 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 16, 17], [0, 1, 2, 3, 4, 6, 7, 8, 11, 13, 14, 16, 17], [0, 1, 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 16], [0, 1, 2, 3, 4, 6, 7, 9, 10, 11, 12, 14, 15], [0, 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 15, 16], [0, 1, 2, 3, 4, 6, 7, 10, 11, 13, 14, 15, 16], [0, 1, 2, 3, 4, 6, 9, 10, 11, 13, 14, 16, 17], [0, 1, 2, 3, 4, 6, 9, 11, 12, 14, 15, 16, 17], [0, 1, 2, 3, 4, 7, 9, 10, 11, 13, 15, 16, 17], [0, 1, 2, 3, 4, 7, 9, 11, 12, 13, 14, 15, 17], [0, 1, 2, 3, 4, 7, 10, 11, 12, 13, 14, 16, 17], [0, 1, 2, 3, 4, 8, 9, 10, 11, 14, 15, 16, 17], [0, 1, 2, 3, 4, 8, 9, 10, 12, 13, 15, 16, 17], [0, 1, 2, 3, 4, 8, 9, 11, 12, 13, 14, 16, 17], [0, 1, 2, 3, 4, 8, 10, 11, 12, 13, 14, 15, 17], [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 13, 15, 17], [0, 1, 2, 3, 5, 6, 7, 8, 9, 11, 15, 16, 17], [0, 1, 2, 3, 5, 6, 7, 8, 10, 12, 15, 16, 17], [0, 1, 2, 3, 5, 6, 7, 8, 11, 12, 14, 16, 17], [0, 1, 2, 3, 5, 6, 7, 9, 10, 12, 13, 14, 16], [0, 1, 2, 3, 5, 6, 7, 10, 11, 12, 14, 15, 16], [0, 1, 2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 16], [0, 1, 2, 3, 5, 6, 9, 10, 11, 12, 14, 16, 17], [0, 1, 2, 3, 5, 7, 9, 10, 13, 14, 15, 16, 17], [0, 1, 2, 3, 5, 7, 11, 12, 13, 14, 15, 16, 17], [0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14, 15, 16], [0, 1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 15, 16], [0, 1, 2, 3, 6, 8, 9, 10, 11, 12, 13, 14, 17], [0, 1, 2, 3, 6, 8, 9, 10, 11, 12, 15, 16, 17], [0, 1, 2, 3, 6, 8, 9, 10, 13, 14, 15, 16, 17], [0, 1, 2, 3, 6, 8, 11, 12, 13, 14, 15, 16, 17], [0, 1, 2, 3, 7, 8, 9, 10, 11, 12, 13, 15, 17], [0, 1, 2, 3, 7, 8, 9, 10, 11, 12, 14, 16, 17], [0, 1, 2, 3, 7, 8, 9, 11, 13, 14, 15, 16, 17], [0, 1, 2, 3, 7, 8, 10, 12, 13, 14, 15, 16, 17], [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 16, 17], [0, 1, 2, 4, 5, 6, 7, 8, 9, 12, 15, 16, 17], [0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 15, 16, 17], [0, 1, 2, 4, 5, 6, 7, 8, 11, 12, 13, 16, 17], [0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 13, 14, 16], [0, 1, 2, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15], [0, 1, 2, 4, 5, 6, 9, 10, 11, 12, 13, 16, 17], [0, 1, 2, 4, 5, 6, 9, 10, 11, 12, 14, 15, 17], [0, 1, 2, 4, 5, 6, 9, 12, 13, 14, 15, 16, 17], [0, 1, 2, 4, 5, 8, 9, 10, 11, 12, 15, 16, 17], [0, 1, 2, 4, 5, 8, 9, 10, 13, 14, 15, 16, 17], [0, 1, 2, 4, 5, 8, 11, 12, 13, 14, 15, 16, 17], [0, 1, 2, 4, 6, 7, 8, 9, 10, 11, 13, 15, 16], [0, 1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15], [0, 1, 2, 4, 6, 7, 9, 10, 11, 12, 15, 16, 17], [0, 1, 2, 4, 6, 7, 11, 12, 13, 14, 15, 16, 17], [0, 1, 2, 4, 7, 8, 9, 10, 11, 12, 13, 16, 17], [0, 1, 2, 4, 7, 8, 9, 10, 11, 12, 14, 15, 17], [0, 1, 2, 4, 7, 8, 9, 12, 13, 14, 15, 16, 17], [0, 1, 2, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16], [0, 1, 2, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16], [0, 1, 2, 5, 6, 7, 9, 10, 11, 13, 15, 16, 17], [0, 1, 2, 5, 6, 7, 9, 10, 12, 14, 15, 16, 17], [0, 1, 2, 5, 6, 7, 10, 11, 12, 13, 14, 16, 17], [0, 1, 2, 5, 6, 8, 9, 10, 11, 14, 15, 16, 17], [0, 1, 2, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17], [0, 1, 2, 5, 6, 8, 9, 11, 12, 13, 14, 16, 17], [0, 1, 2, 5, 6, 8, 10, 11, 12, 13, 14, 15, 17], [0, 1, 2, 5, 7, 8, 9, 10, 12, 13, 14, 16, 17], [0, 1, 2, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17], [0, 1, 2, 5, 7, 8, 10, 11, 12, 14, 15, 16, 17], [0, 1, 2, 6, 7, 8, 9, 10, 11, 13, 14, 16, 17], [0, 1, 2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17], [0, 1, 2, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17], [0, 1, 2, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17], [0, 1, 2, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], [0, 1, 3, 4, 5, 6, 7, 8, 9, 11, 14, 15, 17], [0, 1, 3, 4, 5, 6, 7, 8, 10, 11, 14, 16, 17], [0, 1, 3, 4, 5, 6, 7, 8, 10, 12, 13, 16, 17], [0, 1, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17], [0, 1, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 16], [0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 16], [0, 1, 3, 4, 5, 6, 8, 9, 10, 11, 14, 15, 16], [0, 1, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16], [0, 1, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16], [0, 1, 3, 4, 5, 7, 9, 10, 11, 12, 14, 15, 17], [0, 1, 3, 4, 5, 7, 9, 12, 13, 14, 15, 16, 17], [0, 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16, 17], [0, 1, 3, 4, 5, 8, 9, 11, 13, 14, 15, 16, 17], [0, 1, 3, 4, 5, 8, 10, 12, 13, 14, 15, 16, 17], [0, 1, 3, 4, 6, 7, 9, 10, 11, 12, 13, 15, 17], [0, 1, 3, 4, 6, 7, 9, 10, 11, 12, 14, 16, 17], [0, 1, 3, 4, 6, 7, 9, 11, 13, 14, 15, 16, 17], [0, 1, 3, 4, 6, 7, 10, 12, 13, 14, 15, 16, 17], [0, 1, 3, 4, 6, 8, 9, 10, 11, 12, 13, 16, 17], [0, 1, 3, 4, 6, 8, 9, 10, 11, 12, 14, 15, 17], [0, 1, 3, 4, 6, 8, 10, 11, 13, 14, 15, 16, 17], [0, 1, 3, 5, 6, 7, 9, 10, 11, 13, 14, 16, 17], [0, 1, 3, 5, 6, 7, 9, 10, 12, 13, 14, 15, 17], [0, 1, 3, 5, 6, 7, 9, 11, 12, 14, 15, 16, 17], [0, 1, 3, 5, 6, 7, 10, 11, 12, 13, 15, 16, 17], [0, 1, 3, 5, 6, 8, 9, 10, 11, 13, 14, 15, 17], [0, 1, 3, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17], [0, 1, 3, 5, 6, 8, 9, 11, 12, 13, 15, 16, 17], [0, 1, 3, 5, 6, 8, 10, 11, 12, 14, 15, 16, 17], [0, 1, 3, 5, 7, 8, 9, 10, 11, 14, 15, 16, 17], [0, 1, 3, 5, 7, 8, 9, 10, 12, 13, 15, 16, 17], [0, 1, 3, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17], [0, 1, 3, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17], [0, 1, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16], [0, 1, 3, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17], [0, 1, 3, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17], [0, 1, 3, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17], [0, 1, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16], [0, 1, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17], [0, 1, 4, 5, 6, 7, 9, 10, 12, 13, 14, 16, 17], [0, 1, 4, 5, 6, 7, 9, 11, 12, 13, 15, 16, 17], [0, 1, 4, 5, 6, 7, 10, 11, 12, 14, 15, 16, 17], [0, 1, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17], [0, 1, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17], [0, 1, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 17], [0, 1, 4, 5, 7, 8, 9, 10, 11, 13, 15, 16, 17], [0, 1, 4, 5, 7, 8, 9, 10, 12, 14, 15, 16, 17], [0, 1, 4, 5, 7, 8, 9, 11, 12, 13, 14, 15, 17], [0, 1, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17], [0, 1, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16], [0, 1, 4, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17], [0, 1, 4, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17], [0, 1, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17], [0, 1, 4, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17], [0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15, 16], [0, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16], [0, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 16], [0, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15], [0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16], [0, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16], [0, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15], [0, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 16], [0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 16], [0, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15], [0, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16], [0, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 15, 16], [0, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15], [0, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 16], [0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16], [0, 2, 3, 4, 6, 7, 8, 10, 11, 12, 14, 15, 16], [0, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16], [0, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15], [0, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16], [0, 2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16], [0, 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16], [0, 2, 3, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16], [0, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15], [0, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16], [0, 2, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16], [0, 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16], [0, 2, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16], [0, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16], [0, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [0, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16], [0, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16], [0, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16], [0, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16], [0, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], [0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], [1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15, 17], [1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 17], [1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17], [1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 15, 17], [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 17], [1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 17], [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17], [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 17], [1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 15, 17], [1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 17], [1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 17], [1, 2, 3, 4, 6, 7, 8, 10, 11, 12, 14, 15, 17], [1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17], [1, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 17], [1, 2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 17], [1, 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 17], [1, 2, 3, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17], [1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17], [1, 2, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 17], [1, 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17], [1, 2, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 17], [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17], [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 17], [1, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 17], [1, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 17], [1, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 17], [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17], [1, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16, 17], [2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 16, 17], [2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 16, 17], [2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 15, 16, 17], [2, 3, 4, 5, 6, 7, 8, 10, 11, 14, 15, 16, 17], [2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 15, 16, 17], [2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 16, 17], [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 16, 17], [2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 15, 16, 17], [2, 3, 4, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17], [2, 3, 4, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17], [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17], [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17], [2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17], [2, 3, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17], [2, 3, 5, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17], [2, 3, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17], [2, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17], [2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17], [2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17], [2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17], [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17], [3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17], [3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17], [3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17], [3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17], [3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17], [4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17]]
# activation tensor and its vector representation are omitted.