The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2+X  1 X^2  1  1 X^2  1  1  1  1  1  1  X  1  X  X  1  1  1  1 X^2  1 X^2+X  1  0  0  1  1  1  0 X^2+X  1  1  0  1  1  1  1  1 X^2  1  1  1  1  1 X^2  1  1 X^2 X^2+X X^2  1 X^2+X  1  1  1  1  1 X^2 X^2+X  0  1  1  1  1  1 X^2+X  0  1  1 X^2+X X^2  1 X^2  1  1  X  1 X^2  0
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1 X^2+X  1 X^2+X  1 X^2+X+1 X^2+X+1  1  0  1  1 X^2  0 X+1  1 X+1  1  1  0  1 X^2+X X^2+1  1  0  1  X  1  1 X^2 X+1 X^2+1  1  1 X^2 X^2+X  1  0 X^2+1  X X^2+X+1 X^2+X+1  1  0 X+1 X^2+X X^2 X^2+1  X  1  1  1  1  1 X^2+1  1 X^2  X X^2+1  0  X  1  1 X^2 X^2+X+1 X^2+X+1 X^2+X+1  X  1  1  1 X^2+1  0  1  1 X+1  1  X  1  X  0  1  1
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X  X X^2  0  0 X^2+X  X X^2+X  0 X^2 X^2  X X^2  X  X  X  0  0  X X^2+X X^2 X^2+X  0 X^2  X  0  0  X X^2 X^2+X  X  X X^2  0 X^2+X  X  0  0  0  X X^2+X X^2  X  X  X X^2 X^2+X  0  X X^2+X  X X^2+X  0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X  0 X^2 X^2 X^2  X  X X^2  0  X X^2+X  0 X^2  0 X^2+X  0 X^2 X^2 X^2+X  0  0 X^2+X  X X^2+X X^2
 0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2
 0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2  0 X^2 X^2  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 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0
 0  0  0  0  0  0 X^2  0 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 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+80x^85+160x^86+306x^87+159x^88+362x^89+272x^90+376x^91+224x^92+398x^93+252x^94+356x^95+166x^96+320x^97+130x^98+212x^99+75x^100+98x^101+57x^102+18x^103+8x^104+20x^105+17x^106+12x^107+4x^108+2x^110+1x^112+2x^113+4x^114+1x^116+1x^118+1x^120+1x^122

The gray image is a linear code over GF(2) with n=372, k=12 and d=170.
This code was found by Heurico 1.16 in 5.47 seconds.