The generator matrix

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

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+194x^90+744x^91+690x^92+584x^93+456x^94+360x^95+255x^96+176x^97+166x^98+176x^99+116x^100+88x^101+36x^102+48x^103+1x^106+2x^108+2x^110+1x^114

The gray image is a linear code over GF(2) with n=752, k=12 and d=360.
This code was found by Heurico 1.16 in 0.594 seconds.