The generator matrix

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

generates a code of length 12 over Z9 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+80x^9+324x^12+864x^15+2184x^18+3888x^21+43956x^24+4136x^27+2592x^30+864x^33+160x^36

The gray image is a code over GF(3) with n=36, k=10 and d=9.
This code was found by Heurico 1.16 in 1.4 seconds.