The generator matrix

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

generates a code of length 7 over Z9 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+12x^9+22x^12+162x^14+30x^15+8x^18+8x^21

The gray image is a code over GF(3) with n=21, k=5 and d=9.
This code was found by Heurico 1.16 in 0.000168 seconds.