The generator matrix

 1  0  1  1  1  1  1  0  1
 0  1  1  8  0  7  8  1  0
 0  0  6  0  3  6  3  0  0
 0  0  0  3  3  6  6  3  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^12+54x^14+58x^15+216x^17+58x^18+216x^20+80x^21+14x^24+4x^27

The gray image is a code over GF(3) with n=27, k=6 and d=12.
This code was found by Heurico 1.16 in 0.000887 seconds.