The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  0  0  1  X  1  1  X  0  X  1  X  1  1  1  1  X  0  1  X  1  1  0  1  1  1  0  X  0  X  1  1  1  1  1  X  1  1  0  X  X  X  1  X  1  1  1  1  0  1  1  1  1  0  0  0  1  0  0  1  1  1  1  0  1  1  0  X  0  1  0  1  0  1  0  X  X  X  X  0  0  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1 X+1  X  1  1  1  1  X  0  1  0  X  1  0  1  X  0  X  1 X+1  1 X+1  X  1  X  X X+1  0  X  1  1  0  1 X+1  1  1  1  0 X+1  X  1  0  0  0  0  1  0  1  0  1  0  X  1  0  1  1  X X+1  1  1  1  X  0  0  0  1  1  X  1  X  0  X  1  1  0  X  1  0  0  X  1  X  1 X+1  0  X
 0  0  1  0  0  0  1  1  1  1 X+1  0  0 X+1  X  0 X+1  1  X X+1  0  1  X  1  0 X+1 X+1  1  X X+1  1  X X+1 X+1  0  X X+1  1 X+1  X  1  0  X X+1  X  0  0  X X+1  X  X  0  1  X  0  X  0  1  0  0  0  1  1 X+1  0 X+1 X+1  1  0  0 X+1  0  1  0  X  1 X+1  1 X+1  1  X  1  0  X  X  X X+1  1  1  0  0  1  1  0  1  X X+1 X+1  X
 0  0  0  1  0  1  1  0  1  X X+1  1  0  1  1  X  X  X X+1  1  1 X+1  X  X  0  0  1  1  0 X+1  X  1  1  0  0  1  0 X+1  X  0 X+1  1  1 X+1 X+1  1 X+1  1  X  X  1  X X+1  X  1  1  0  1  0 X+1 X+1  0  1  X  X  0  1 X+1  X  1  0  1  X  X X+1  X  1 X+1  X  1  X  1  0  1  1 X+1  1  X  X  0  1  1  0  0  1  1  0  1  0
 0  0  0  0  1  1  0  1 X+1  X X+1 X+1  1  X  0  1  1  0 X+1  1 X+1  1  X  0  0  1 X+1  0 X+1 X+1 X+1  0  X  X  1  X  0  0  X  0  X  X X+1  1  0  0 X+1  0  1  1  1  1  X  1  1  X  0  X  1  1 X+1 X+1  0  X  0 X+1  X  0  X  1  1  1  0  1 X+1  X  X  1  0  X  1  1  1 X+1 X+1  X  0 X+1  X  X  1 X+1  X  X X+1 X+1  0 X+1  0
 0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  X  0  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  X  X  X  X  0  X  0  0  X  0  0  0  0  X  X  0  0  X  0  X  0  X  X  X  X  0  0  X  0  X  0  X  X  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  X  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  0  X  0  X  0  0  0  X  X  0  X  0  0  X  0  0  0  0  X  X  X  0  X  X  X  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  0  0  X  0  X  X  0  0  0  0  X  X  X  0  X  X  0  X  X  X  X  0  X  X  0  X  0  X  0  0  0  X  X  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  X  X  X  0  X  0  X  X  X  0  X  X  0  X  X  X  0  0  X  X  0  0  0  X  0  X  0  X  0  X  0  0  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+89x^86+132x^87+180x^88+288x^89+315x^90+368x^91+344x^92+304x^93+406x^94+378x^95+354x^96+434x^97+420x^98+394x^99+408x^100+432x^101+387x^102+328x^103+308x^104+322x^105+299x^106+272x^107+202x^108+196x^109+194x^110+134x^111+91x^112+58x^113+53x^114+38x^115+22x^116+12x^117+12x^118+4x^119+8x^120+2x^121+2x^128+1x^130

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 17.5 seconds.