The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+284x^85+263x^86+526x^87+358x^88+470x^89+243x^90+340x^91+259x^92+356x^93+142x^94+216x^95+96x^96+136x^97+84x^98+120x^99+37x^100+40x^101+31x^102+34x^103+17x^104+18x^105+5x^106+12x^107+8x^109

The gray image is a linear code over GF(2) with n=364, k=12 and d=170.
This code was found by Heurico 1.16 in 11.3 seconds.