The generator matrix

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

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+252x^24+3x^32

The gray image is a code over GF(2) with n=192, k=8 and d=96.
This code was found by Heurico 1.16 in 3.62e-008 seconds.