The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+133x^80+377x^82+546x^84+723x^86+771x^88+795x^90+865x^92+805x^94+787x^96+744x^98+591x^100+424x^102+291x^104+172x^106+92x^108+46x^110+17x^112+7x^114+1x^116+1x^118+1x^122+1x^124+1x^126

The gray image is a linear code over GF(2) with n=186, k=13 and d=80.
This code was found by Heurico 1.16 in 16.3 seconds.