The generator matrix

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

generates a code of length 97 over Z2[X]/(X^2) who�s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+113x^88+275x^90+272x^92+294x^94+232x^96+212x^98+144x^100+120x^102+107x^104+83x^106+54x^108+58x^110+25x^112+38x^114+10x^116+8x^118+2x^120

The gray image is a linear code over GF(2) with n=194, k=11 and d=88.
This code was found by Heurico 1.16 in 1.08 seconds.