The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^6+40x^9+576x^12+60x^15+22x^18

The gray image is a code over GF(3) with n=18, k=6 and d=6.
This code was found by Heurico 1.16 in 0.000293 seconds.