The generator matrix

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

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+50x^92+378x^93+275x^94+274x^95+215x^96+268x^97+157x^98+258x^99+81x^100+62x^101+14x^102+8x^103+5x^104+2x^138

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 0.734 seconds.