The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  0  1  1  1  X  1  1  0  1  0  1  1  0  1  1  0  X  1  0  1  1  1  0  1  1  1  1  1  0  1  X  1  1  X  X  1  1  0  1  1  1  0  1  0  X  1  1  1  1  1  1  1  X  1  0  1  0  1  1  0  1  1  X  1  1  1  1  1  0  1  1  X  0  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  X X+1  1  0  1 X+1  X X+1  1 X+1  0  1  X  1 X+1  1  1  0  X  1  1 X+1  1  0  X X+1  1  1  1  0 X+1  0  1 X+1  1  0  X  1  1  1  X  1 X+1  X  1  1  0  1  1  0 X+1 X+1  1 X+1  0 X+1  1  0  1 X+1  1  X  1  1  X  0  1 X+1  0  0 X+1  X  1  0 X+1  1  1  0 X+1  X
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  X  X  X  X  0  X  0  0  X  X  X  X  X  X  X  0  X  0  0  X  0  0  X  X  X  0  0  X  0  0  X  0  0  0  0  0  X  X  0  X  0  0  X  X  X  X  X  0  X  0  0  0  X  0  0  X  X  X  0  X  0  X  0  0  X  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  0  X  0  0  0  0  X  X  X  0  0  X  X  0  X  X  X  X  0  X  0  X  0  X  0  0  X  X  X  X  0  X  X  X  0  X  X  X  0  0  X  X  0  X  X  0  X  X  X  X  0  X  0  X  X  0  0  X  X  0  0  0  0  X  X  X  0  0  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  0  X  X  0  X  0  0  X  0  X  X  0  X  0  0  0  X  0  X  X  0  X  X  X  0  X  X  0  0  0  X  X  0  0  0  X  0  0  0  X  0  X  X  X  0  0  X  X  0  X  X  X  0  0  X  0  X  0  0  X  X  X  X  0  X  X  X  0  0  X  0  X  X  0  X  0  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  X  X  0  0  X  0  X  0  X  X  X  X  0  X  0  X  0  X  0  X  X  0  X  0  X  X  0  X  X  0  X  X  X  0  0  X  X  X  0  X  0  0  X  0  0  X  0  X  X  0  0  0  X  0  0  0  0  0  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  X  X  X  0  0  X  X  0  X  X  0  0  X  X  0  X  X  X  0  X  0  X  X  0  0  X  X  0  0  X  X  0  X  0  0  0  0  X  0  X  0  X  X  0  0  X  X  X  0  X  X  X  0  0  X  X  0  0  0  X  X  X  X  X  0  0  X  0  X
 0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  X  X  0  X  X  0  0  X  0  0  0  X  X  0  X  X  X  0  0  0  X  X  X  X  0  X  0  X  X  X  0  X  X  X  X  0  0  X  X  X  0  X  X  0  0  X  0  X  0  X  X  0  X  0  0  X  X  X  X  0  X  X  0  0  X  0  X  X  X  0  X  0  X  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  0  0  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  0  X  0  X  0  0  X  X  X  0  X  X  X  0  0  0  X  X  0  X  0  X  X  0  X  0  0  X  X  0  X  0  0  0  0  0  0  0  X  0  X  0  X  0  X  X  X  X  0  0  X  0  X  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X  0  0  0  X  X  X  0  X  X  X  X  X  X  X  0  0  X  X  X  0  0  0  X  0  X  0  X  0  0  0  X  0  0  0  X  X  0  0  0  0  X  0  0  0  X  0  X  X  0  X  0  X  0  0  X  0  0  0  X  X  X  0  X  X  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+154x^80+114x^82+411x^84+298x^86+505x^88+356x^90+534x^92+356x^94+453x^96+298x^98+304x^100+114x^102+112x^104+44x^108+20x^112+17x^116+3x^120+2x^124

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 5.55 seconds.