The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+41x^80+114x^82+207x^84+295x^86+372x^88+414x^90+440x^92+459x^94+409x^96+391x^98+340x^100+246x^102+154x^104+78x^106+41x^108+35x^110+26x^112+9x^114+11x^116+5x^118+4x^120+2x^122+1x^124+1x^128

The gray image is a linear code over GF(2) with n=188, k=12 and d=80.
This code was found by Heurico 1.16 in 5.12 seconds.