The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+366x^88+598x^92+400x^96+293x^100+206x^104+112x^108+49x^112+21x^116+2x^120

The gray image is a linear code over GF(2) with n=192, k=11 and d=88.
This code was found by Heurico 1.10 in 461 seconds.