The generator matrix

 1  0  1  1  1 X^3+X^2+X  1  1 X^3  1  1 X^2+X  1  1  X  1 X^3+X^2  1  1 X^2  1  1  1 X^3+X  1  1 X^2+X  1  1 X^3+X^2+X X^3  1  1  1  1 X^2  1  1  0  1  1 X^3+X^2 X^3+X  1  1  X  1  1 X^3  1 X^2  X  1  1  1 X^3+X  1  X  0  1  1  1  1 X^2 X^2+X  X X^2  0 X^2+X  X X^3 X^3+X^2 X^3+X  X  0 X^3  1 X^2+X  X X^3+X^2  X  1  1 X^2+X X^3 X^3+X^2  1  1  1  1  1  1 X^2+X  1
 0  1 X+1 X^3+X^2+X X^2+1  1 X^3+X^2+1  0  1 X^3+X^2+X X+1  1 X^3+X^2 X^2+X+1  1  X  1  1 X^3+X^2+X+1  1 X^3+X^2  X X^3+1  1 X^3 X^3+X+1  1 X^2+X X^3+1  1  1 X+1 X^3+X X^3+X^2 X^3+1  1 X^2+X+1 X^3+X^2+1  1  X X^3  1  1 X^3+X^2 X^3+X^2+1  1 X^2+X+1 X^3+X  X X^2  1  1 X^2+1 X^2 X+1  1 X^3+X^2 X^3+X^2  1  1 X^3+X^2+X  X X^2+X+1  1  1  1  1  1  1  1  1  1  1  1  1  X X^3+X^2+X+1  1  1  1  1 X^3+X^2  X  1  1  1 X^3+X^2+X+1  1 X^3+X^2+X+1 X^3+X^2+X+1 X^3+X+1 X^3+X^2  1  0
 0  0 X^2  0  0  0  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^2 X^3 X^3 X^3 X^3+X^2  0  0 X^3 X^3+X^2 X^2 X^3+X^2  0  0 X^3 X^2 X^2 X^2 X^3 X^3+X^2 X^3+X^2  0 X^3+X^2 X^3 X^2 X^3 X^3+X^2  0 X^3 X^2 X^3+X^2 X^3+X^2  0 X^3+X^2 X^3  0 X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2  0 X^2  0 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^3 X^3  0 X^3+X^2  0  0 X^2 X^3+X^2 X^3 X^3+X^2 X^3  0 X^3+X^2 X^2 X^2 X^2 X^3 X^3 X^2 X^2 X^2  0 X^3+X^2 X^3+X^2 X^3+X^2 X^2
 0  0  0 X^3+X^2 X^3 X^3+X^2 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^2  0 X^3+X^2 X^3  0 X^2 X^3+X^2 X^3  0 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2  0 X^3+X^2 X^2 X^3 X^3+X^2 X^3  0  0 X^3 X^2  0  0 X^3+X^2 X^3 X^3 X^2  0 X^3+X^2 X^3+X^2 X^3 X^2 X^2  0 X^3  0 X^3 X^3  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2  0  0 X^3 X^3+X^2 X^2  0 X^3 X^3+X^2  0 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^2  0 X^3+X^2  0 X^3+X^2  0 X^2 X^3+X^2 X^3 X^3 X^3+X^2  0  0 X^2  0 X^3+X^2 X^3+X^2

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+124x^89+345x^90+582x^91+450x^92+484x^93+325x^94+500x^95+331x^96+438x^97+242x^98+132x^99+73x^100+38x^101+9x^102+8x^104+4x^106+2x^109+2x^110+2x^113+2x^115+1x^130+1x^132

The gray image is a linear code over GF(2) with n=752, k=12 and d=356.
This code was found by Heurico 1.16 in 1.05 seconds.