The generator matrix

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

generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+48x^88+438x^89+494x^90+592x^91+380x^92+364x^93+393x^94+514x^95+386x^96+306x^97+57x^98+60x^99+16x^100+16x^101+10x^102+2x^103+4x^105+1x^106+8x^109+4x^110+1x^128+1x^134

The gray image is a code over GF(2) with n=744, k=12 and d=352.
This code was found by Heurico 1.16 in 1.22 seconds.