The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+30x^89+60x^90+46x^91+21x^92+28x^93+28x^94+12x^95+6x^96+6x^97+6x^98+6x^99+2x^100+1x^104+2x^106+1x^132

The gray image is a linear code over GF(2) with n=184, k=8 and d=89.
This code was found by Heurico 1.10 in 0.015 seconds.