The generator matrix

 1  1  1  1  1  1  1  1
 0  3  0  0  3  0  3  3
 0  0  3  0  6  3  6  3
 0  0  0  3  6  6  0  6

generates a code of length 8 over Z9 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+20x^12+32x^15+162x^16+8x^18+16x^21+4x^24

The gray image is a code over GF(3) with n=24, k=5 and d=12.
This code was found by Heurico 1.16 in 0.000284 seconds.