The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1320x^18+5088x^21+17580x^24+23738x^27+10626x^30+672x^33+24x^36

The gray image is a code over GF(3) with n=39, k=10 and d=18.
This code was found by Heurico 1.16 in 59.9 seconds.