The generator matrix

1 0 0 0 0 0 1 1 1 1 0 1 0 X 1 X 1 0 1 1 0 X X 1 0 0 X 1 1 1 1 1 0 X X 1 0 1 0 X 1 X 1 1 1 1 0 1 X 1 0 1 1 0 X 1 1 0 0 X X 1 1 0 1 1 1 1 1 0 1 1 1 X 0 1 X X 1 1 1 0 1 X 0 X 1 1 X 0 1
0 1 0 0 0 0 0 0 0 0 0 X X X X 0 1 1 1 X+1 1 1 1 X+1 1 1 1 X+1 1 X+1 0 1 0 1 1 X X 0 1 1 X+1 1 X+1 0 X 1 1 0 1 X+1 1 X+1 1 1 1 X 0 X 0 1 1 1 X 0 0 X X+1 X 1 1 X 1 1 X X 0 0 0 1 X 1 1 0 1 1 1 0 0 1 1 1
0 0 1 0 0 0 0 0 0 X X X 0 X 0 0 0 0 0 X X X X 0 X X X X 0 0 X X 0 0 1 X+1 1 1 1 1 1 X+1 1 X+1 1 1 1 X+1 X+1 1 X+1 X+1 X X+1 X+1 1 X+1 1 1 X+1 0 1 X+1 1 X+1 1 X+1 0 X+1 X+1 1 X X+1 1 X 1 1 1 1 X 1 1 1 X+1 X X X X+1 X 0 0
0 0 0 1 0 0 0 1 X 0 1 1 0 1 X+1 1 X X+1 0 X+1 1 0 X 1 X X+1 1 X+1 X+1 X 1 0 1 X+1 1 0 X 0 1 1 1 0 1 1 1 X 0 X+1 1 0 X X 0 X 0 X+1 0 1 X+1 0 0 X+1 X+1 X+1 X 1 X 0 1 X+1 0 X 1 X X X X+1 1 1 X X+1 X X+1 1 0 X 0 1 1 X+1 X
0 0 0 0 1 0 1 X 0 1 1 1 1 0 0 1 X+1 X X X+1 X+1 X+1 X 0 1 X X+1 0 1 X+1 X+1 0 X 1 X X+1 0 0 0 X+1 X+1 X+1 X X X X+1 1 1 0 X+1 X 0 X X+1 1 1 X 1 X X 0 X+1 X+1 X X 1 1 0 X 1 X X+1 X+1 0 1 X+1 1 0 0 0 0 X 0 X+1 X 1 X+1 0 X+1 X+1 X+1
0 0 0 0 0 1 X 0 1 1 X+1 1 X+1 X+1 X+1 0 X+1 X 1 X X+1 1 1 1 X X+1 0 0 1 0 X 0 1 X+1 X+1 X+1 X+1 X+1 X X X X+1 0 X+1 X 0 0 1 X 1 X+1 X X+1 0 1 0 1 X 0 X 1 X+1 0 X X X+1 X+1 X 0 X+1 0 1 X+1 X 0 X+1 1 X 0 1 1 X+1 0 1 1 X 0 1 X+1 0 X

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+74x^80+98x^81+136x^82+230x^83+221x^84+204x^85+238x^86+244x^87+199x^88+212x^89+213x^90+238x^91+219x^92+198x^93+184x^94+142x^95+170x^96+184x^97+133x^98+76x^99+76x^100+74x^101+77x^102+68x^103+46x^104+50x^105+34x^106+22x^107+16x^108+4x^109+9x^110+2x^111+2x^112+2x^115

The gray image is a linear code over GF(2) with n=182, k=12 and d=80.
This code was found by Heurico 1.10 in 1.23 seconds.