The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  0  0  1  X  1  1  X  0  X  1  X  1  X  0  1  1  0  1  1  0  0  1  1  1  X  1  1  1  1  1  1  X  0  1  0  1  0  1  X  0  X  0  X  1  0  1  1  X  X  1  1  1  1  1  1  1  1  X  1  1  1  1  1  0  0  1  1  0  0  X  1  1  1  1  1  X  0
 0  1  0  0  0  0  0  0  0  1  1  1  1  1 X+1  X  1  1  1  1  X  0  1  0  X  1  0  1  X  0 X+1  X  1  1  1  1  X  X  0  1  1 X+1  X X+1  1  1  X  1  0  0  0  1 X+1  X  1  X  1  1 X+1  1  X  X  1  X  0  X  0  1 X+1 X+1  1 X+1  X  X  0  0 X+1 X+1  1  1  X X+1  0  X  1  0  0  X  1  1  0  1
 0  0  1  0  0  0  1  1  1  1 X+1  0  0 X+1  X  0 X+1  1  X X+1  0  1  X  1  0 X+1 X+1  1  1  1 X+1  1  0 X+1  X  1  X  0  X  X  0 X+1 X+1  X X+1 X+1  0 X+1  1  1  1  0  0  1 X+1  0  1  0  0  0  X  0  X  1 X+1  1 X+1 X+1  0  1  1 X+1  1  0  0  0  1  X  0  X  1  1  1  X  X  1 X+1 X+1  X  0  X  X
 0  0  0  1  0  1  1  0  1  X X+1  1  0  1  1  X  X  X X+1  1  1 X+1  X  X  0  0  1  1 X+1  0  X  0  0 X+1  1  0 X+1 X+1  0  X  X  X  X  1  X  0  1  1  0 X+1 X+1 X+1  X X+1  0  1 X+1  0  1  1  1 X+1  0  1 X+1 X+1  1  0  0 X+1  1  1 X+1 X+1  X X+1  0  1  X  0  0  X  0  1  1 X+1  0  X  X  0  1  1
 0  0  0  0  1  1  0  1 X+1  X X+1 X+1  1  X  0  1  1  0 X+1  1 X+1  1  X  0  0  1 X+1 X+1  X  0  1 X+1  1  X  0  X  0  0 X+1 X+1  0 X+1 X+1 X+1  0  X  0 X+1 X+1  X  0  X X+1  X  1  1  X  1  0 X+1  X  X X+1  1 X+1 X+1  1  X  X X+1 X+1  1  X  1 X+1  1  1  1 X+1  X  0 X+1 X+1 X+1  X  X X+1 X+1  X  1 X+1  X
 0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  X  0  X  0  0  0  0  X  X  X  X  X  0  X  X  X  X  X  0  0  0  0  X  X  0  0  0  X  0  0  0  X  0  X  X  X  0  0  0  X  0  X  0  0  X  0  0  X  0  0  X  X  X  X  X  0  X  X  0  X  X  0  0  0  X  X  0  0  0  X  0  X  0  0  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  0  X  0  X  0  X  X  X  0  0  X  0  X  X  0  X  X  0  X  X  0  X  0  X  0  0  0  X  X  0  0  0  X  X  0  X  X  X  0  X  0  X  X  0  X  X  0  X  X  X  0  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  X  X  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  X  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+256x^80+470x^82+724x^84+710x^86+823x^88+774x^90+844x^92+780x^94+802x^96+670x^98+556x^100+314x^102+253x^104+102x^106+80x^108+20x^110+9x^112+4x^116

The gray image is a linear code over GF(2) with n=184, k=13 and d=80.
This code was found by Heurico 1.16 in 62 seconds.