The generator matrix

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

generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+20x^80+64x^81+59x^82+48x^83+68x^84+54x^85+24x^86+28x^87+8x^88+22x^89+26x^90+8x^91+20x^92+8x^93+15x^94+2x^95+3x^96+8x^97+1x^98+6x^99+8x^100+2x^101+2x^103+2x^105+2x^106+2x^107+1x^110

The gray image is a linear code over GF(2) with n=172, k=9 and d=80.
This code was found by Heurico 1.10 in 0.015 seconds.