The generator matrix

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

generates a code of length 97 over Z2[X]/(X^2) who�s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+129x^90+160x^92+199x^94+121x^96+117x^98+70x^100+69x^102+47x^104+28x^106+25x^108+20x^110+11x^112+8x^114+3x^116+4x^118+8x^120+2x^122+2x^124

The gray image is a linear code over GF(2) with n=194, k=10 and d=90.
This code was found by Heurico 1.16 in 0.405 seconds.