The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+320x^89+300x^90+464x^91+323x^92+516x^93+298x^94+336x^95+181x^96+296x^97+150x^98+216x^99+117x^100+192x^101+56x^102+88x^103+28x^104+72x^105+50x^106+40x^107+19x^108+12x^109+10x^110+8x^111+2x^112+1x^116

The gray image is a linear code over GF(2) with n=380, k=12 and d=178.
This code was found by Heurico 1.11 in 106 seconds.