The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+84x^85+220x^86+398x^87+310x^88+436x^89+340x^90+388x^91+253x^92+340x^93+243x^94+194x^95+157x^96+198x^97+98x^98+132x^99+97x^100+60x^101+45x^102+36x^103+11x^104+34x^105+9x^106+4x^107+2x^108+4x^110+1x^112+1x^114

The gray image is a linear code over GF(2) with n=368, k=12 and d=170.
This code was found by Heurico 1.16 in 1.46 seconds.