The generator matrix

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

generates a code of length 13 over Z9 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+168x^15+204x^16+348x^17+1668x^18+1374x^19+2760x^20+6774x^21+7476x^22+11400x^23+21018x^24+19668x^25+21576x^26+27914x^27+19308x^28+14844x^29+13098x^30+4350x^31+1560x^32+1494x^33+108x^34+36x^36

The gray image is a code over GF(3) with n=39, k=11 and d=15.
This code was found by Heurico 1.13 in 7.83 seconds.