The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+406x^88+828x^90+765x^92+718x^94+454x^96+332x^98+219x^100+150x^102+107x^104+64x^106+32x^108+16x^110+4x^114

The gray image is a linear code over GF(2) with n=376, k=12 and d=176.
This code was found by Heurico 1.16 in 3.88 seconds.