The generator matrix

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

generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+44x^88+38x^89+62x^90+66x^91+87x^92+78x^93+58x^94+66x^95+51x^96+48x^97+34x^98+62x^99+28x^100+46x^101+49x^102+54x^103+22x^104+32x^105+26x^106+8x^107+8x^108+12x^109+15x^110+8x^112+2x^113+4x^114+4x^116+4x^118+2x^120+1x^122+1x^124+1x^126+1x^134+1x^138

The gray image is a linear code over GF(2) with n=194, k=10 and d=88.
This code was found by Heurico 1.16 in 0.47 seconds.