The generator matrix

 1  1  1  1  1  1  1  1  1
 0  3  0  0  0  0  0  0  0
 0  0  3  0  0  0  0  0  0
 0  0  0  3  0  0  0  0  0
 0  0  0  0  3  0  0  0  0
 0  0  0  0  0  3  0  0  0
 0  0  0  0  0  0  3  0  0
 0  0  0  0  0  0  0  3  0
 0  0  0  0  0  0  0  0  3

generates a code of length 9 over Z9 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+18x^3+144x^6+672x^9+2016x^12+4032x^15+44742x^18+4608x^21+2304x^24+512x^27

The gray image is a code over GF(3) with n=27, k=10 and d=3.
This code was found by Heurico 1.16 in 0.433 seconds.