The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+72x^86+152x^87+237x^88+292x^89+298x^90+300x^91+321x^92+352x^93+304x^94+302x^95+241x^96+250x^97+289x^98+220x^99+170x^100+102x^101+44x^102+42x^103+35x^104+10x^105+11x^106+6x^107+14x^108+10x^109+2x^110+2x^112+8x^113+2x^114+2x^115+2x^116+1x^118+1x^124+1x^126

The gray image is a linear code over GF(2) with n=376, k=12 and d=172.
This code was found by Heurico 1.16 in 1.9 seconds.