The generator matrix

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

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+50x^89+46x^90+46x^92+64x^93+13x^94+13x^96+12x^97+2x^98+2x^100+2x^102+2x^104+2x^105+1x^126

The gray image is a linear code over GF(2) with n=184, k=8 and d=89.
This code was found by Heurico 1.16 in 0.448 seconds.