The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+447x^96+104x^97+560x^98+72x^99+440x^100+56x^101+192x^102+24x^103+122x^104+16x^106+4x^112+8x^116+2x^136

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 124 seconds.