The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+56x^87+170x^88+248x^89+289x^90+328x^91+326x^92+280x^93+317x^94+302x^95+268x^96+286x^97+290x^98+256x^99+176x^100+170x^101+97x^102+66x^103+55x^104+36x^105+23x^106+10x^107+19x^108+2x^109+4x^110+2x^111+6x^112+2x^113+1x^114+2x^115+2x^116+2x^118+2x^119+1x^122+1x^132

The gray image is a linear code over GF(2) with n=380, k=12 and d=174.
This code was found by Heurico 1.16 in 1.82 seconds.