The generator matrix

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

generates a code of length 96 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+204x^91+394x^92+420x^93+511x^94+380x^95+476x^96+350x^97+426x^98+354x^99+269x^100+156x^101+71x^102+46x^103+11x^104+2x^105+9x^106+2x^107+4x^110+4x^111+2x^118+2x^119+1x^124+1x^130

The gray image is a code over GF(2) with n=768, k=12 and d=364.
This code was found by Heurico 1.16 in 1.39 seconds.