The generator matrix

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

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+178x^85+317x^86+452x^87+575x^88+608x^89+660x^90+640x^91+653x^92+656x^93+595x^94+470x^95+466x^96+420x^97+391x^98+324x^99+243x^100+198x^101+88x^102+92x^103+64x^104+32x^105+20x^106+20x^107+7x^108+2x^109+6x^110+2x^111+4x^112+3x^114+3x^116+2x^117

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 5.8 seconds.