The generator matrix

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

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+136x^91+288x^92+578x^93+540x^94+428x^95+343x^96+382x^97+467x^98+494x^99+222x^100+108x^101+46x^102+28x^103+5x^104+18x^105+2x^108+2x^114+2x^115+2x^116+2x^117+1x^138+1x^144

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 1.13 seconds.