The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  0  X  1  1  1  X  1  1  X  1  0  0  1  0  X  1  0  0  1  1  X  0  1  1  0  1  1  0  0  1  0  X  1  X  X  0  X  1  1  0  X  1  X  1  0  1  X  0  X  1  1  1  X  1  1  X  X  1  0  0  1  1  0  1  1  1  1  1  1  1  X  0  X  X  0  1  1  0  1
 0  1  0  0  0  1  1  1  X  0 X+1  1  1  X  1  X X+1  X  X  1 X+1  1  0  0  1  X  0  1  0  1  1  1  0  1  1 X+1  1  0  0  0  1  X  X  1  0 X+1  0  1  1  1  0  1  1  0  X  1  X  0 X+1  1  1  1  X  0  X  X  0 X+1  1  1  X  0  1  1  0  1  X X+1  0 X+1  0  X  1  0  0  1  X  1  1  1  1  0
 0  0  1  0  1  1  0  1  0 X+1  0 X+1  X  1  1 X+1  X  0  1  1  X X+1  1  1 X+1  X  X  X  0  X  1  1  1  X  1  X  1  X  0  1  0  1 X+1  X  0  1  1  1  0  1  1  X  1  0  1 X+1  X  1  X  0 X+1  0 X+1 X+1  1  1  0  0  0  0 X+1  X  0  X  0  X  1  X  1  1  X  X X+1  1  1  X  1  0  1  1  1  0
 0  0  0  1  1  0  1  1  1  0  X X+1  1  1  0  0  0  X  1  X  1 X+1 X+1  0 X+1  X  1  0  1 X+1  X  1 X+1  1  X X+1  1  1  1  0 X+1  1 X+1  0  1  X  0  X  1  0  X  1 X+1  1  0  0  X  0 X+1  X  X  1  1 X+1  1  1 X+1  0 X+1  0  1  1  1  X  1  0  0  X X+1  X  X  0  1  X  1  0 X+1  X  1 X+1  1  0
 0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  X  X  0  X  X  X  0  X  0  X  0  X  X  X  X  0  X  X  X  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  X  0  0  0  0  X  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  0  0  X  0  0  X  X  X  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  0  0  X  X  X  0  X  X  X  0  X  0  X  X  X  0  X  X  X  0  X  0  0  0  0  X  0  0  X  0  X  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  X  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  0  X  0  X  X  X  X  X  0  0  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  X  X  0  0  0  X  X  0  X  0  X  0  0  X  0  X  0  0  0  X  X  X  X  X  X  X  X  X  0  0  X  X  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  0  X  0  X  X  X  X  0  0  0  X  0  X  0  0  X  0  X  X  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  0  X  0  X  X  X  X  X  0  X  X  X  0  X  0  X  X  0  0  X  X  X  X  0  X  0  0  X  X  X  0  0  X  0  X  X  0  0  X  0  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+50x^80+60x^81+109x^82+146x^83+172x^84+204x^85+216x^86+268x^87+246x^88+224x^89+205x^90+204x^91+191x^92+194x^93+203x^94+154x^95+139x^96+172x^97+145x^98+146x^99+143x^100+108x^101+86x^102+88x^103+58x^104+52x^105+43x^106+16x^107+21x^108+6x^109+15x^110+2x^111+2x^112+4x^113+2x^114+1x^116

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 3.7 seconds.