The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+14x^90+44x^91+72x^92+64x^93+66x^94+56x^95+26x^96+28x^97+25x^98+24x^99+14x^100+10x^101+6x^102+12x^103+7x^104+4x^105+3x^106+4x^107+2x^108+2x^109+8x^110+4x^111+4x^112+4x^113+2x^114+2x^116+2x^118+2x^122

The gray image is a linear code over GF(2) with n=192, k=9 and d=90.
This code was found by Heurico 1.10 in 0.031 seconds.