The generator matrix

 1  0  0  0  1  1  1  0  1  1  1 X^2  1  0 X^2  0 X^2  1  X  1  1  1  1  0  1  1 X^2+X  X  1 X^2  1  1  1  1 X^2+X  1  1  1 X^2+X  X X^2+X X^2  1 X^2+X X^2+X  1  1  1 X^2  X X^2+X  1  1 X^2 X^2 X^2 X^2  X  1  1  0  1  1  1  1  1  1 X^2+X  1  0  0  1  1  X  1  1  0 X^2+X  1  1  1  0  1  1  1  1  1  1  1  1  X X^2+X  1
 0  1  0  0  1 X^2  1  1 X^2+1  0 X^2+X+1  1  0  X  1  1  1 X^2+X X^2 X^2  0 X+1 X+1  1  X X^2+X+1  X  0  1  1  X  1 X^2+X X^2+X+1 X^2 X^2+1 X^2+X X^2  1  X  1  0 X^2+X+1  X  1  X X^2+1 X^2+X  1  1  1  1 X^2  0  1  1  1  1 X^2+X+1 X^2+1  1 X^2+X+1 X+1 X+1  X X^2+X  X  0  1 X^2+X  1  1  X  1 X+1 X^2+1  1  0 X^2+X+1 X^2+X X^2+X+1  0 X^2 X^2+1 X+1 X^2+X+1  0 X^2 X^2+X+1  0  1 X^2  0
 0  0  1  0  X  0 X^2+X  X  1  1 X+1  1 X^2+X+1  1 X^2+X+1  0 X^2+X X^2  1 X^2+X+1 X^2+X X+1 X^2+1  1  1 X^2+X  0  1 X^2 X+1 X^2+1 X^2 X^2+X  X  1 X^2+1 X^2+X  1 X^2  1  0 X^2  0  1 X^2+X+1  X  1 X^2+X+1 X+1 X+1  X  1 X+1  1  X X^2+X+1 X^2+1 X^2+X+1  X X^2  0 X+1 X^2+1  1  0 X^2+1  X X^2  0  1 X^2+1 X^2+X+1 X^2  0  X X^2 X^2+1  1 X^2+X+1 X^2+X X^2  1 X+1  X  X X^2+1  1 X^2+X X^2 X^2+X X^2+X  1  1
 0  0  0  1  X  1 X+1 X+1 X+1  X  0 X^2+X+1 X+1  1 X^2 X^2+X  1  X X^2 X^2+X X^2+X+1 X^2+X X+1 X^2+X X^2+X+1 X^2+X  1  1 X^2+1 X^2+1  1  0 X^2  0 X^2+X X^2 X^2+X+1 X^2 X+1 X^2+1 X^2  1 X^2+X+1  1 X^2+X  X  1 X^2+1 X+1 X^2+1 X^2+1  1 X+1  X X^2+1 X^2 X+1 X^2+X+1 X^2+1 X+1 X^2 X^2 X^2  X X^2+1 X^2+X X^2+X  1  X X+1 X^2+X X^2+X+1 X^2+X  X X^2+1 X^2+X X^2 X^2+X+1 X^2+X+1 X^2+1 X^2+1  X  0  1 X^2+X+1  1 X^2 X^2  1 X^2+1  1 X^2+X+1 X^2+X
 0  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  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+122x^85+323x^86+540x^87+564x^88+670x^89+596x^90+678x^91+600x^92+632x^93+509x^94+620x^95+450x^96+412x^97+350x^98+294x^99+200x^100+214x^101+148x^102+96x^103+55x^104+62x^105+24x^106+10x^107+18x^108+2x^110+2x^115

The gray image is a linear code over GF(2) with n=372, k=13 and d=170.
This code was found by Heurico 1.11 in 1.83 seconds.