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

generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+172x^88+836x^89+532x^90+722x^91+434x^92+324x^93+245x^94+202x^95+138x^96+240x^97+68x^98+80x^99+28x^100+60x^101+8x^102+2x^104+1x^106+1x^108+2x^110

The gray image is a linear code over GF(2) with n=736, k=12 and d=352.
This code was found by Heurico 1.16 in 13.7 seconds.