The generator matrix

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

generates a code of length 95 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+103x^88+204x^90+178x^92+130x^94+116x^96+78x^98+60x^100+28x^102+34x^104+26x^106+33x^108+8x^110+6x^112+4x^114+11x^116+2x^118+2x^124

The gray image is a linear code over GF(2) with n=190, k=10 and d=88.
This code was found by Heurico 1.16 in 0.371 seconds.