The generator matrix

 1  0  1  3  1  1  1  1  6  1  1  1
 0  1  3  1  7  4  6  1  1  8  2  5

generates a code of length 12 over Z9 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+72x^24+8x^27

The gray image is a code over GF(3) with n=36, k=4 and d=24.
This code was found by Heurico 1.16 in 0.000236 seconds.