The generator matrix

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

generates a code of length 7 over Z9 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+38x^6+102x^9+644x^12+1186x^15+194x^18+22x^21

The gray image is a code over GF(3) with n=21, k=7 and d=6.
This code was found by Heurico 1.16 in 0.00113 seconds.