The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+92x^87+56x^88+70x^90+100x^91+48x^92+35x^94+28x^95+8x^96+13x^98+10x^99+10x^100+7x^102+12x^103+3x^104+1x^106+6x^107+1x^108+2x^110+2x^111+4x^115+1x^116+2x^119

The gray image is a linear code over GF(2) with n=184, k=9 and d=87.
This code was found by Heurico 1.10 in 219 seconds.