The generator matrix

 1  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  9  0
 0  0  9  0  0  0  0 18  0
 0  0  0  9  0  0  0 18  0
 0  0  0  0  9  0  0 18  0
 0  0  0  0  0  9  0 18  0
 0  0  0  0  0  0  9 18  0

generates a code of length 9 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+42x^6+84x^9+252x^12+420x^15+18000x^18+504x^21+294x^24+86x^27

The gray image is a code over GF(3) with n=81, k=9 and d=18.
This code was found by Heurico 1.16 in 0.0543 seconds.