The generator matrix

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

generates a code of length 15 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+278x^27+234x^30+144x^33+72x^36

The gray image is a code over GF(3) with n=45, k=6 and d=27.
This code was found by Heurico 1.16 in 0.0171 seconds.