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  0  6  6  3  0
 0  0  0  3  0  6  0  6  6
 0  0  0  0  3  6  3  6  3

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

Homogenous weight enumerator: w(x)=1x^0+54x^12+162x^14+180x^15+648x^17+240x^18+648x^20+216x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=27, k=7 and d=12.
This code was found by Heurico 1.16 in 0.00435 seconds.