The generator matrix

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

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+572x^92+408x^93+625x^94+376x^95+543x^96+272x^97+446x^98+224x^99+302x^100+120x^101+125x^102+8x^103+31x^104+20x^106+16x^108+4x^112+2x^120+1x^128

The gray image is a code over GF(2) with n=768, k=12 and d=368.
This code was found by Heurico 1.16 in 132 seconds.