The generator matrix

 1  0  1  1  1 3X+2  1  1 2X+2  1  X  1  1  1 2X  1 X+2  1  1  2  1  1  1  0  1 3X  1  1 2X+2  1  1 X+2  1  1  1 3X  1  0  1  1  1 3X+2  1 2X+2  1  1  1  X  1  1  1  1  1  1  1  1 3X+2  1  1  1  1  1  1  1  1 2X+2  X 2X  2 3X+2 2X 3X+2 2X+2 3X  0  X 2X 2X+2 3X+2  0  X  0  X  1  1  1  1  1  1  1  1  1  1  0  1  1
 0  1 X+1 3X+2  3  1 2X X+3  1 2X+1  1 2X+2  X X+1  1 2X+3  1 X+2  1  1  2 3X  3  1 3X+3  1 2X 2X+1  1 3X+2 X+1  1  2  X 3X+3  1  3  1 2X+2 3X 3X+1  1 2X+1  1 X+2  0 X+3  1  0 X+2 2X+2 3X  0 X+2  0 X+2  1 2X+2 X+2 3X  0 2X+2 3X 2X+2 3X  1  1  1  1  1  1  1  1  1  1  1 2X  1  1  1  1  1  1 2X+3 3X+3 3X+3 2X+3 X+1 3X+3  1  1 2X+1  1  X 2X+3  0
 0  0  2  2 2X  2 2X+2 2X+2 2X  0 2X+2 2X 2X+2  0 2X+2  2 2X  0 2X+2  2  2 2X  0 2X 2X  0 2X+2 2X  0  2  0 2X  2 2X+2 2X  0 2X+2  2  0  0 2X+2 2X+2  2 2X+2 2X 2X  2  2  2 2X+2 2X+2  2  0  0 2X 2X  0  0 2X+2  0  2 2X+2  2 2X 2X  0 2X  2  2  2 2X+2  0 2X+2 2X  0 2X+2  0 2X 2X+2 2X  2  2 2X 2X 2X+2  0  0 2X  2  2 2X 2X+2  0 2X+2 2X+2  0
 0  0  0 2X  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X  0  0  0 2X  0  0  0 2X 2X 2X  0  0  0  0  0 2X  0 2X 2X 2X  0 2X  0 2X  0 2X  0 2X  0 2X 2X  0  0 2X  0 2X  0 2X  0 2X 2X  0  0 2X  0 2X  0 2X  0 2X 2X  0  0  0 2X  0  0 2X  0 2X 2X  0 2X  0  0 2X  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+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 1.14 seconds.