The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2+X  1  1 X^2  1 X^2  1  1  1  1  0  1 X^2  1 X^2+X  1  1 X^2+X  1  1 X^2+X  1 X^2+X  1  1  1  1  0  1  1  X  1  1  0 X^2  1  1  1  1  X  1  1  1  1  1  1  1  1  0  X X^2+X  1  0  1  1  1 X^2+X  0  X X^2  1  1  1  1 X^2+X  1  1  1  1  1  1  1  1 X^2+X  1  1  1 X^2+X  X X^2 X^2
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1 X^2+X  1 X^2+X+1 X^2+X  1 X^2+X+1  1  0  1  1 X^2  1  0  1 X^2+X+1  1  1  X  1  1 X^2+X+1  1  0  1 X+1 X^2 X^2+X+1 X^2  1  1  0  1 X^2+X X^2+X  1  1 X^2+X X+1  X  1  1 X^2+1  0 X^2+X+1  0  0 X^2+X X+1 X^2+X  1  1  1 X^2+1  1 X^2+X+1 X+1 X^2+1  1  1  1  1 X^2+X  X  0 X^2  1 X^2+1  0  0 X^2+1 X+1  1 X^2+X X^2+X  1 X+1  X X+1  1  1  X X^2
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X  X X^2  0  0 X^2+X X^2+X  X  0 X^2 X^2  X X^2  X  0  X  X  X  X X^2 X^2+X X^2 X^2+X  0 X^2+X  0  0 X^2  X X^2+X  X X^2 X^2+X  0 X^2+X X^2 X^2 X^2+X X^2  0  0 X^2+X X^2+X X^2+X  0 X^2+X X^2+X X^2+X X^2  X  X X^2+X X^2+X  0 X^2+X  X  X X^2+X  0  0  0  0  X X^2 X^2  X X^2  0 X^2  X X^2+X  0 X^2  X  0  0  X X^2 X^2+X  0 X^2+X  X X^2 X^2+X  0
 0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  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  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2
 0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2
 0  0  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 X^2 X^2 X^2  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  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0
 0  0  0  0  0  0 X^2  0 X^2  0  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 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+109x^86+132x^87+245x^88+292x^89+344x^90+304x^91+263x^92+300x^93+238x^94+304x^95+284x^96+316x^97+233x^98+256x^99+183x^100+116x^101+59x^102+28x^103+21x^104+23x^106+12x^108+13x^110+12x^112+4x^114+1x^118+1x^120+2x^124

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 2.01 seconds.