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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+63x^82+115x^84+90x^86+61x^88+57x^90+44x^92+31x^94+18x^96+10x^98+8x^100+1x^102+2x^104+2x^106+3x^108+2x^110+2x^112+2x^116

The gray image is a linear code over GF(2) with n=176, k=9 and d=82.
This code was found by Heurico 1.16 in 0.184 seconds.