The generator matrix

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

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+71x^86+138x^87+184x^88+286x^89+345x^90+352x^91+350x^92+366x^93+354x^94+362x^95+380x^96+394x^97+388x^98+398x^99+404x^100+416x^101+420x^102+368x^103+335x^104+312x^105+271x^106+272x^107+258x^108+164x^109+147x^110+108x^111+110x^112+88x^113+43x^114+40x^115+23x^116+22x^117+4x^118+8x^119+2x^120+5x^122+2x^123+1x^124

The gray image is a linear code over GF(2) with n=198, k=13 and d=86.
This code was found by Heurico 1.16 in 17.1 seconds.