The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  X  0  0  X  0  1  1  1  1  1  1  1  X  0  X  0  X  0  X  0  1  1  0  X  1  1  0  1  1  X  1  1  1  1  0  0  1  1  0  1  1  1  1  X  0  1  X  1  0  X  1  X  1  X  1  1  0  X  0  X  1  1  0  X  1  1  1  X  1  1
 0  1  0  0  1  1  1  0  X  X  1  1  1  1  X  1  1  X  1  1  X  0  1 X+1  0  0 X+1  1  1  1  1  1  1  1  1  1  0  X  1  1  0  0  1  0  0  1  X  0  0  X  1  1  X  X  1  X  X  X  0  1  0  0  1  0  1  1  X  X  X  0  X  0  1  1  0  1  X  X  1  1  0  0  0  1  1  X
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  0  X  X  1  1  0 X+1  1 X+1  1  0  X X+1  1  X X+1  1  1  1  1  1 X+1 X+1  0  1  X  X  0 X+1  X  0  1  0  X  1  0 X+1  0  X  0  1  X  0  1  0 X+1  X  0 X+1  X  X X+1 X+1 X+1  X  1  1  1  X  X  0  1  X  0  X  X  X  1 X+1  1  0 X+1  1
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  0  X  0  X  X  0  X  0  0  0  X  0  0  0  X  X  X  0  X  X  X  X  X  X  X  X  0  0  0  0  0  0  X  X  X  0  X  0  0  X  X  0  X  0  0  X  0  X  0  0  0  X  0  X  0  0  X  0
 0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  X  X  X  X  0  0  0  X  0  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  0  X  X  0  0  X  0  X  0  X  X  X  0  X  0  X  X  0  0  0  X  0  0  X  X  0  X  0  0  0  X  0  X  X  X  X  X  X  X  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  0  X  X  X  0  0  X  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  0  0  X  0  X  X  X  0  0  0  X  0  X  X  0  X  0  0  0  X  0  0  0  X  X  X  X  X  0  0  X  X  X  X  X  X  0  0  0  0  X  X  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+25x^80+50x^81+57x^82+66x^83+50x^84+46x^85+35x^86+28x^87+25x^88+12x^89+23x^90+18x^91+17x^92+14x^93+4x^94+8x^95+5x^96+6x^97+3x^98+8x^99+5x^100+5x^102+1x^138

The gray image is a linear code over GF(2) with n=172, k=9 and d=80.
This code was found by Heurico 1.16 in 0.181 seconds.