The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+292x^88+324x^92+200x^96+97x^100+54x^104+30x^108+9x^112+13x^116+4x^120

The gray image is a linear code over GF(2) with n=188, k=10 and d=88.
This code was found by Heurico 1.16 in 14.2 seconds.