The generator matrix

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

generates a code of length 96 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+99x^92+252x^93+296x^94+474x^95+279x^96+128x^97+125x^98+44x^99+99x^100+180x^101+57x^102+10x^103+1x^104+1x^120+1x^122+1x^134

The gray image is a code over GF(2) with n=768, k=11 and d=368.
This code was found by Heurico 1.16 in 1.16 seconds.