The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 X 1 1 0 1 0 1 1 1 1 0 X 1 1 0 1 1 0 1 1 X 1 1 1 1 X 0 1 1 1 1 1 0 1 1 1 1 X 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 X 1 X 1 1 1 1 X X 1 1 1 1 1 1 1 0 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 1 0 X+1 1 0 X 1 X+1 1 X X+1 X+1 0 1 1 1 X+1 1 0 X 1 X+1 X+1 1 X+1 0 X X+1 1 1 0 1 X X 0 1 X 0 X 1 1 0 0 1 X 1 X X X 1 1 1 X 0 X+1 X 1 1 1 X 1 X+1 1 1 1 X X 1 1 X X X 1 X+1
0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 X X X X X X 0 0 X X X X X X X X 0 X X X X 0 0 X X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X X X X X X 0 X X 0 0 0 X 0 X X 0 X 0 X X X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 0 X X 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 0 0 X X X 0 X X 0 0 X 0 X 0 X X 0 X X 0 X 0 X X X 0 0 0 X X 0 X 0 0 0 X 0 X 0 X 0 X 0 X X 0 X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 X X 0 X 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 0 X X X X 0 X 0 X X X 0 0 X X 0 X 0 X X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 X X 0 0 X X X X X X 0 X
0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 0 X X 0 X 0 X X X 0 0 0 X X X 0 X X 0 0 X X 0 X 0 X X X 0 X 0 0 0 X X X 0 0 0 X X X 0 0 X 0 0 0 0 X X 0 0 0 X 0 0 X X X X 0 X 0 X X
0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 X X X X X 0 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X X 0 0 0 0 X X X 0 X 0 0 X X 0 0 X 0 0 0 X 0 X X X X 0 0 0 0 X X X X 0 0 0 0 0 X X 0 0 0 X
0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 X X 0 0 X 0 0 0 X 0 0 X X 0 0 0 0 X 0 X X X 0 X 0 X 0 X 0 0 X
0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X 0 X X 0 0 0 0 X X X X X 0 0 X 0 0 0 X
generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.
Homogenous weight enumerator: w(x)=1x^0+126x^80+124x^82+301x^84+176x^86+257x^88+168x^90+236x^92+176x^94+219x^96+124x^98+79x^100+29x^104+19x^108+5x^112+4x^116+2x^120+1x^124+1x^128
The gray image is a linear code over GF(2) with n=180, k=11 and d=80.
This code was found by Heurico 1.16 in 1.21 seconds.