The generator matrix

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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+200x^88+710x^89+686x^90+630x^91+384x^92+386x^93+290x^94+270x^95+156x^96+96x^97+68x^98+124x^99+41x^100+24x^101+26x^102+1x^104+2x^106+1x^116

The gray image is a code over GF(2) with n=736, k=12 and d=352.
This code was found by Heurico 1.16 in 0.547 seconds.