The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^15+198x^18+372x^21+774x^24+1082x^27+14430x^30+1248x^33+882x^36+426x^39+152x^42+24x^45

The gray image is a code over GF(3) with n=45, k=9 and d=15.
This code was found by Heurico 1.16 in 0.345 seconds.