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

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+318x^96+256x^97+320x^98+512x^99+128x^100+256x^101+64x^102+192x^104+1x^192

The gray image is a code over GF(2) with n=792, k=11 and d=384.
This code was found by Heurico 1.16 in 109 seconds.