The generator matrix

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

generates a code of length 99 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+160x^96+64x^97+312x^98+128x^99+150x^100+64x^101+80x^102+28x^104+24x^106+10x^112+2x^116+1x^128

The gray image is a code over GF(2) with n=792, k=10 and d=384.
This code was found by Heurico 1.16 in 0.781 seconds.