The generator matrix

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

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+220x^80+464x^82+732x^84+748x^86+827x^88+800x^90+870x^92+804x^94+754x^96+676x^98+466x^100+304x^102+269x^104+140x^106+74x^108+32x^110+9x^112+2x^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 1.10 in 4.7 seconds.