The generator matrix

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

generates a code of length 13 over Z9 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+116x^24+90x^27+30x^30+4x^33+2x^36

The gray image is a code over GF(3) with n=39, k=5 and d=24.
This code was found by Heurico 1.16 in 0.000581 seconds.