The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+778x^92+936x^94+1011x^96+672x^98+398x^100+216x^102+61x^104+12x^108+4x^112+4x^116+3x^120

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 55 seconds.