The generator matrix

 1  0  0  0  0  1  1  1  0  0  X  1  1  1  X  1  X  X  0  1  1  1  1  1  0  1  X  1  0  1  X  X  1  1  1  1  1  1  1  1  1  0  1  0  X  1  X  X  1  X  1  1  0  1  0  1  0  1  1  0  0  0  1  1  1  1  X  X  1  1  1  1  1  1  X  1  0  1  1  1  1  X  0  0  0  1  1  X  1  0  1  1  X  1  1  0  X
 0  1  0  0  0  X  1 X+1  1  1  1  1  1  0  X  0  1  1  X  0 X+1  X  1  X  X  1  1  0  0 X+1  1  0 X+1  X  0 X+1  1 X+1  X  0  0  0  1  1  1  X  1  0  0  1 X+1  X  1 X+1  0  X  1 X+1  1  1  X  1  1  X  1 X+1  1  X X+1  X X+1  0 X+1 X+1  0  1  1  1  X X+1  0  1  0  1  1  1 X+1  1  1  1  0  X  1  1  1  X  X
 0  0  1  0  0  0  0  0  X  1  1  1 X+1  1  1 X+1  0 X+1  1  X X+1  1  X  0  0  1  1 X+1  1  0  0  1  X  0 X+1 X+1  X  X X+1  1  X  1  1  1  X  1  0  1  X  X  1  1  0  0  X  1  X  1  1  1  0 X+1  X  X  0 X+1  1  0  X  X X+1  1 X+1  1  0  0  1  X  0 X+1  1  1  1 X+1  1  X  0  X  0  1  X  0  0  X  1  1  1
 0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0 X+1  1 X+1  1 X+1  1 X+1  1  1 X+1 X+1  1 X+1 X+1  1  0  0  X  X  X  X  1 X+1  1  X  1  X  X  1  X  0  X  0  0  1  0 X+1  X  1 X+1 X+1  X  1 X+1  1  X  1  X  X  1  1  1 X+1  0  X X+1  0 X+1  1 X+1  1  0  X  1  X  X  0  1  X  1  0 X+1  X  X X+1  X  X X+1  0 X+1  0
 0  0  0  0  1  1 X+1  X X+1  1  0  X  1  1  1  X  1  X X+1  1  1  0  X  X X+1  0 X+1 X+1  X X+1  0 X+1  0 X+1  1 X+1  1  X  0 X+1  0  X X+1  0  0  1 X+1  0  X  X  1  X  1  1 X+1 X+1  0  0  0 X+1  1  1  X X+1  0 X+1  X  X X+1  0  X  1  X  X  0  1  1 X+1  1  1  0  0 X+1 X+1 X+1  0  1  0  X  X  0  0  0 X+1 X+1  0  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+102x^90+209x^92+166x^94+154x^96+108x^98+72x^100+38x^102+50x^104+32x^106+31x^108+16x^110+21x^112+10x^114+2x^116+6x^118+2x^120+2x^124+2x^126

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 0.414 seconds.