The generator matrix

 1  0  0  0  1  1  1  0  0 X^2 X^2  1  1  1  1  1 X^2+X X^2+X  1  1  X  1 X^2+X  1 X^2+X  1 X^2  X  1  1  1  1 X^2  1  1 X^2+X X^2  1 X^2+X  0 X^2+X  1 X^2  X  1  1  1  1  X X^2 X^2+X  1  0  1  X  1  1  1  0  0  1  1 X^2+X X^2+X  0  X  1  X X^2  1  1 X^2 X^2+X X^2  1  0 X^2  1  1  1  X  1  1  1  1 X^2+X  1  1  1  1  1
 0  1  0  0  0  1  1  1 X^2  1  1  0  1  1  0  X  X  1 X^2+1 X^2+X  1  1  1 X^2 X^2  0  0  1 X^2+X+1 X+1 X+1  X X^2+X X^2+X+1 X^2  1  1 X^2+X  X  0  1 X^2+1  1  1 X^2 X^2+X X^2+X+1  X X^2  1  0  1  X  X  1  X X^2+1 X^2  1  1 X^2+X X+1 X^2+X  1 X^2+X  0 X^2+X+1  1  1 X+1 X^2+1  0  1 X^2  0  1  X X+1 X^2  1  0  1 X^2+X  X  X  1 X^2+X X+1 X^2 X^2  X
 0  0  1  0  1 X^2 X^2+1  1  1  0  1 X^2  1  0 X^2+1 X^2  1  X X^2+X X^2+1 X^2+1  X X^2+1 X^2+X X^2 X^2+X+1  1 X^2 X^2+1 X^2+X+1  X X+1  1  X  X X^2+1 X^2 X^2+X+1  1 X^2+X X^2 X^2+1  X X+1 X^2+X+1 X^2+X X+1  1  1 X^2+1 X^2+X X^2 X^2 X^2  1 X^2+X  0 X^2+X X^2+1 X^2+X+1 X^2 X^2  1 X^2  1  1  X X+1 X^2+X+1 X+1 X^2  1  0  1 X^2+X+1 X^2  1 X^2 X^2+X X^2+X X^2+X X^2  1 X^2+X+1 X^2+1 X^2+X+1 X^2+X  1 X^2+X+1 X^2+1 X^2+1
 0  0  0  1 X^2  0 X^2 X^2  1  1 X^2+1  1  1 X^2+1 X^2+1 X^2+X X+1 X^2  0  0 X^2+X+1 X+1  0 X^2+X+1  1 X+1 X^2+X X^2+1 X^2+X X^2+X+1 X^2+1 X^2+1 X^2+X+1 X^2  0  X X+1 X^2  1  1 X+1  X X^2 X^2 X^2 X+1  X X^2+1 X^2+X X^2+X+1  1  X  1 X+1  1  X X^2+X+1  1  X  0 X^2+1 X+1 X^2+X X^2 X^2+1  0  X  0 X+1  0 X^2+X  0 X^2+X X+1  X X^2+1 X^2+X  1 X^2+X X^2+X+1  1 X^2+1 X^2 X^2+X+1  X  X  1  X X^2+X  0  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+260x^85+341x^86+444x^87+392x^88+462x^89+237x^90+384x^91+304x^92+228x^93+191x^94+168x^95+138x^96+114x^97+99x^98+112x^99+36x^100+52x^101+40x^102+52x^103+8x^104+20x^105+4x^106+8x^107+1x^112

The gray image is a linear code over GF(2) with n=364, k=12 and d=170.
This code was found by Heurico 1.11 in 46.8 seconds.