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

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+188x^89+778x^90+596x^91+630x^92+456x^93+412x^94+274x^95+190x^96+128x^97+152x^98+78x^99+96x^100+40x^101+64x^102+9x^104+1x^106+1x^108+1x^110+1x^112

The gray image is a linear code over GF(2) with n=744, k=12 and d=356.
This code was found by Heurico 1.16 in 0.578 seconds.