The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^24+4x^26+2x^28+1x^32

The gray image is a code over GF(2) with n=96, k=5 and d=48.
This code was found by Heurico 1.16 in 0.00282 seconds.