The generator matrix

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

generates a code of length 13 over Z9 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+132x^18+54x^20+132x^21+324x^23+648x^26+110x^27+432x^29+330x^30+24x^39

The gray image is a code over GF(3) with n=39, k=7 and d=18.
This code was found by Heurico 1.16 in 0.0146 seconds.