The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+222x^85+326x^86+422x^87+559x^88+526x^89+667x^90+726x^91+639x^92+614x^93+621x^94+518x^95+485x^96+402x^97+320x^98+316x^99+243x^100+192x^101+152x^102+88x^103+47x^104+50x^105+19x^106+10x^107+5x^108+8x^109+5x^110+4x^112+2x^113+2x^114+1x^116

The gray image is a linear code over GF(2) with n=372, k=13 and d=170.
This code was found by Heurico 1.16 in 70.1 seconds.