The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 1 X 0 X X 0 0 1 1 1 1 0 1 X 1 X X 1 0 1 1 1 0 1 1 1 X X 1 1 1 X 1 1 1 1 1 1 0 1 1 1 X 1 X 1 0 1 1 X 1 1 X 1 1 0 X 1 X X X 1 X 1 1 1 1 X 1 1 0 1 1 1 1
0 1 0 0 1 1 1 0 0 1 X+1 1 1 0 X X+1 X X+1 1 0 1 0 1 1 X X+1 0 1 1 X+1 1 0 X 0 X 1 X+1 X+1 0 1 0 1 X+1 1 1 X 0 1 1 0 0 X X X X 0 1 1 1 1 0 1 X+1 1 X X 1 X 1 1 1 1 0 0 0 1 1 1 0 1 X+1 1 X X+1 1 1 X+1 1 X X X 0
0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 1 X+1 0 X X 1 X+1 1 0 X+1 X+1 X 0 1 0 1 1 0 1 1 1 0 1 X X 0 X+1 0 1 0 X+1 1 X+1 0 X 0 X+1 X+1 0 0 X 1 1 0 X+1 1 X+1 X+1 1 X X+1 0 X 0 0 X+1 X 0 1 1 X+1 1 1 X 1 X+1 X 1 X X X X X+1 0 0 0 X+1 0
0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X X X X X 0 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X 0 X 0 X X 0 X X X X X 0 X 0 X X X 0 0 0 X 0 0 0 0 X X X 0 0 0 0 X 0 X X X X 0
0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X X X X X 0 X X 0 X X 0 0 0 X 0 X 0 0 0 X X X X 0 X 0 X X X X 0 X 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 X 0 X X X X X X 0 0 X 0 0 0 X 0 0 0 0 0 X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 X 0 0 X 0 X 0 0 X X X 0 0 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 X X 0 0 X 0 0 X X 0 0 X X X X X X 0 X 0 X 0 0 X X 0 X 0 0 0 0 X X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 X X 0 0 0 X X X 0 X X X X 0 X 0 X X X 0 X X 0 X X 0 0 X X 0 0 X 0 0 X 0 X 0 X 0 X 0 X X X 0 X X 0 X 0 X 0 X X 0 0 0 0 0 X X 0
0 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X X 0 X 0 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 0 X X 0 0 0 X 0 X 0 X X 0 X X X X X 0 X X X 0 0 0 X 0 X X 0 0 0 0 X 0 X X 0
0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 0 0 X 0 X X X X X 0 0 0 X X 0 X 0 X X X 0 X X X 0 X X X 0 0 X 0 0 X X X 0 X 0 0 X X X X 0 X X 0 0 0 X 0 0 X X 0 X X X 0 X 0 X 0 X X 0 X 0 0 0 X 0 0 X 0
generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.
Homogenous weight enumerator: w(x)=1x^0+62x^80+46x^81+108x^82+162x^83+183x^84+184x^85+218x^86+190x^87+236x^88+262x^89+206x^90+236x^91+191x^92+226x^93+174x^94+206x^95+156x^96+154x^97+164x^98+146x^99+101x^100+108x^101+84x^102+66x^103+58x^104+34x^105+48x^106+16x^107+29x^108+10x^109+11x^110+2x^111+7x^112+8x^114+2x^122+1x^126
The gray image is a linear code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.16 in 4.2 seconds.