The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+13x^86+103x^88+20x^90+48x^92+20x^94+35x^96+8x^98+4x^100+2x^102+1x^104+1x^166

The gray image is a linear code over GF(2) with n=182, k=8 and d=86.
This code was found by Heurico 1.16 in 0.141 seconds.