The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1
 0  1  0  0  1  2  0  3  1  0  2  0
 0  0  1  0  1  0  3  2  1  2  2  0
 0  0  0  1  1  3  0  2  3  2  0  0
 0  0  0  0  2  2  2  2  0  0  0  0

generates a code of length 12 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+63x^8+160x^10+64x^12+160x^14+63x^16+1x^24

The gray image is a code over GF(2) with n=24, k=9 and d=8.
This code was found by Heurico 1.16 in 0.00277 seconds.