The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  1  1  1  X  1  X  1  1  1  X  1  X  1  1  1  X  1  1  X  X  X  1  1  1  X  0  1  1  X  1
 0  X  0  0  0  0  0  0  0  0  X  0  0  0  X  X  0  0  0  0  X  X  X  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  X  X  0  0  X  X  X  0  0  X  0  X  0  X  X  0  0  X  0  X  0  X  X  0  X  X  X  X  0  X  0  0  X  0  0  X  0  X  0  0  0  X  0  X  0  X  0  X  X  X  X  X  0  0  0  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  0  0  X  0  X  0  0  0  X  X  0  X  X  0  X  X  X  X  X  X  X  0  X  0  0  X  X  0  0  0  X  X  X  X  0  0  X  X  0  0  X  0  0  X  X  X  0  X  X  0  X  0  X  0  0  X  X  0  X  X  X  0  0  0  0  X  X  0  X  0  X
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  0  X  X  X  0  0  X  X  X  0  X  0  X  0  0  0  X  0  X  X  0  0  X  0  0  X  0  0  0  X  0  0  0  X  0  X  X  X  X  X  0  0  X  0  X  X  0  0  0  X  X  0  X  X  X  0  X  0  X  0  0  X  0  X  0  X  X  X  X  X  0  X  X  0  X  0  0  0  0  0  0  X
 0  0  0  0  X  0  0  0  0  X  0  0  0  X  0  X  X  0  X  X  X  X  X  X  0  X  0  X  X  X  0  0  X  0  0  0  X  X  0  0  0  0  X  X  0  0  X  X  X  0  0  X  X  0  0  0  0  0  0  0  0  X  X  0  0  0  0  X  X  X  X  0  0  0  X  0  0  X  X  X  0  X  X  X  0  X  0  X  X  X  X  X  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  X  0  0  X  X  X  X  0  X  0  X  0  0  0  X  0  X  X  X  X  X  X  X  0  0  X  X  X  X  0  0  0  0  X  0  X  0  0  0  X  0  0  0  0  X  0  0  X  0  X  0  X  X  X  X  0  X  0  0  X  X  0  X  X  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  X  0  X  0  X  X  X  0
 0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  0  X  0  0  X  X  0  X  X  0  0  X  X  X  0  0  0  X  X  X  0  X  0  X  0  0  0  0  X  X  X  0  0  X  0  0  0  X  0  X  X  0  X  X  0  0  X  X  X  X  X  0  X  0  0  X  0  X  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  X  0  0  0  X  0  X  X  X
 0  0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  0  X  0  0  X  X  X  X  X  0  0  X  0  0  0  0  X  0  X  0  0  X  X  X  X  X  0  0  0  X  0  X  X  X  0  X  0  0  X  0  0  X  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  X  0  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  X  X  0  X  0  0  0  0  X  X  X  X  0  0  X  X  0  0  0  X  X  0  X  0  0  0  0  0  X  X  0  X  0  X  X  0  X  0  0  X  X  0  0  X  X  X  0  X  0  0  X  X  X  0  X  X  0  0  0  0  X  0  0  0  X  X  0  0  0  X  X  X  0  X  X  0  0  X  X  X  X  X  0  X  X  0  X  0

generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+37x^86+64x^88+8x^89+56x^90+42x^91+53x^92+74x^93+42x^94+80x^95+26x^96+96x^97+39x^98+100x^99+34x^100+68x^101+25x^102+32x^103+35x^104+8x^105+23x^106+2x^107+18x^108+2x^109+22x^110+17x^112+9x^114+6x^116+1x^118+1x^120+1x^122+1x^124+1x^166

The gray image is a linear code over GF(2) with n=194, k=10 and d=86.
This code was found by Heurico 1.16 in 0.581 seconds.