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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+127x^86+280x^87+167x^88+468x^89+295x^90+534x^91+284x^92+338x^93+194x^94+340x^95+181x^96+212x^97+91x^98+184x^99+94x^100+98x^101+33x^102+58x^103+39x^104+36x^105+25x^106+6x^107+2x^108+2x^110+6x^111+1x^114

The gray image is a linear code over GF(2) with n=372, k=12 and d=172.
This code was found by Heurico 1.16 in 1.49 seconds.