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.