The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+122x^24+4x^28+1x^32

The gray image is a code over GF(2) with n=192, k=7 and d=96.
This code was found by Heurico 1.16 in 3.62e-008 seconds.