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

generates a code of length 95 over Z2[X]/(X^3) who�s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+69x^88+260x^89+344x^90+404x^91+410x^92+336x^93+377x^94+280x^95+215x^96+248x^97+226x^98+228x^99+171x^100+120x^101+109x^102+68x^103+62x^104+52x^105+24x^106+40x^107+27x^108+8x^109+5x^110+4x^111+5x^112+2x^114+1x^118

The gray image is a linear code over GF(2) with n=380, k=12 and d=176.
This code was found by Heurico 1.16 in 1.56 seconds.