The generator matrix

 1  0  0  1  1  1  1  1  1  0  1  1  6
 0  1  0  0  0  1  8  1  8  1  5  7  1
 0  0  1  1  8  8  8  1  0  8  7  6  7
 0  0  0  6  0  0  0  6  6  3  3  3  0
 0  0  0  0  3  0  3  3  0  6  6  0  3
 0  0  0  0  0  6  6  6  6  6  0  0  3

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

Homogenous weight enumerator: w(x)=1x^0+338x^18+1950x^21+5772x^24+7618x^27+3900x^30+78x^33+26x^36

The gray image is a code over GF(3) with n=39, k=9 and d=18.
This code was found by Heurico 1.16 in 37.8 seconds.