The generator matrix

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

generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+94x^82+96x^84+142x^86+59x^88+42x^90+24x^92+16x^94+2x^96+14x^98+5x^100+8x^102+1x^104+2x^106+2x^108+1x^112+1x^116+2x^118

The gray image is a linear code over GF(2) with n=174, k=9 and d=82.
This code was found by Heurico 1.16 in 0.174 seconds.