The generator matrix

 1  0  0  0  0  1  1  1  0  1  1 X^2+X  X  1  X  1 X^2 X^2+X  1  1  1  X  1  1  1 X^2  0  1  X  0  1  1  X  1 X^2+X X^2+X X^2  1  1  0  1  1  1  1  1  X  1 X^2  X  1 X^2+X X^2  1 X^2+X  1  1  1  1  1  1  1 X^2  1  X  1  1  X X^2+X  1  1  1  0  1 X^2  1  1  0  X  X  0 X^2 X^2 X^2+X  X  1  X  1  1  1  1  X  1  1  1  0  1  1  0  1
 0  1  0  0  0  0  0  0 X^2  0  0 X^2  0 X^2  0  0  1  1 X+1  1  1  1 X^2+1  1  1  1  1 X^2+X+1  1  1 X^2+1  X  X X+1  X  1  1  X X^2 X^2+X X^2+X+1 X^2 X^2+1  1 X^2+1  1 X^2+X  1 X^2+X X^2  X  1 X^2 X^2+X X^2+X+1  1 X+1 X^2+1  X X^2+X+1  0 X^2+X X^2+X X^2+X X^2 X^2  1  1  X X^2+X+1 X+1 X^2 X^2+1  1 X^2 X+1  0  X  1 X^2+X  1  1  1  1 X+1 X^2  1  0  1 X^2  1  X  1 X^2+1  1  1 X^2+X  1  0
 0  0  1  0  0  0  1 X^2+1  1 X+1 X^2+X  1  X  X  1 X^2+1  0 X^2+X  X X+1  X  0 X+1  1 X^2+X+1 X^2+1  1 X^2+X  1 X+1  0 X^2  1  X  1 X^2+X+1 X^2  1 X^2+X+1  1  0 X^2+1  1 X+1 X^2 X+1  X X^2  1 X^2 X^2+X X^2+1  1  X X+1 X^2+X+1 X^2+1  X  X X^2+X X^2+X+1 X^2+X X^2  1 X^2+1  0 X^2 X^2 X+1 X^2 X^2  0 X+1 X+1 X+1 X^2+X  1  1  0  1 X^2 X^2+X+1  1 X^2+X+1  X  X X^2+X+1 X+1 X^2+1  X X^2  X X^2+X X^2+X+1 X^2+1 X^2 X^2+X  0  0
 0  0  0  1  0  1  1 X^2 X^2+1 X^2+X  X X^2+X  1 X^2+X+1 X^2+X+1 X^2+1  1 X^2  X  0 X^2 X^2+X+1 X^2+X+1  X  1  0 X^2+1 X^2+1  1  X  1 X^2 X+1 X^2  0 X^2 X^2 X^2+1 X^2+X  1 X^2+1  X X^2+X  1 X^2+X X+1 X^2+1 X^2+X+1 X^2  0 X^2 X^2+X+1  X  1  0 X^2+1 X^2 X^2+X+1 X^2+1  X X^2+X  1  0 X+1 X^2+1 X^2+X X^2+1 X^2 X^2+X+1 X^2+X X^2  1 X^2+1 X+1 X^2+1 X^2+X+1 X^2+X X^2+1 X^2+X X^2+X  0  0  X X^2 X+1  1  0 X^2+X+1 X^2+1  X X^2+X+1 X+1 X^2+X+1  0 X+1 X^2 X^2+X  X X^2
 0  0  0  0  1  1 X^2  1  1  X X^2+1 X^2+1 X^2+1  0  0  1 X^2+X+1  1 X^2+X X^2+1 X^2+X+1 X^2+X X^2  0 X+1 X+1 X^2+X X^2+1 X+1 X^2+X  0 X^2+1  0 X^2+X X^2+X X^2  1  1 X^2+X+1 X^2+X+1 X^2+X+1  0 X^2+X X^2  1 X^2 X^2+X+1  0 X+1 X^2+X  1 X+1  1 X^2+X+1 X^2+X+1  1 X^2+X X^2  1  1 X^2+X X+1  0  1 X^2+1 X+1 X^2+X+1 X^2+X  0 X^2  1 X^2+X X^2 X^2+X X^2+X X^2+1  1 X^2+X  1 X^2  X X^2+X+1 X^2+X X^2  0 X^2  X  0  1 X+1  X  X X^2+X+1 X^2 X^2  1 X^2+1  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  X X^2+X X^2+X X^2+X X^2+X  X X^2+X  X  X  X X^2+X  X X^2+X X^2+X  X X^2+X  X X^2+X X^2+X  X X^2+X  X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  X X^2+X X^2+X X^2 X^2+X  X  X X^2+X  X X^2  X X^2+X X^2  X X^2+X  0 X^2+X  X  0  0  X X^2

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+174x^86+524x^87+1039x^88+1872x^89+2236x^90+3096x^91+4335x^92+5116x^93+6467x^94+7670x^95+8456x^96+9340x^97+9889x^98+10314x^99+10153x^100+9538x^101+8951x^102+7454x^103+6366x^104+5374x^105+4003x^106+3048x^107+2206x^108+1386x^109+798x^110+538x^111+322x^112+182x^113+116x^114+52x^115+14x^116+24x^117+6x^118+4x^119+4x^120+2x^123+2x^127

The gray image is a linear code over GF(2) with n=396, k=17 and d=172.
This code was found by Heurico 1.13 in 329 seconds.