The generator matrix

 1  1  1  1  1  1  3  3  3
 0  9 18  0  9 18  9 18  0

generates a code of length 9 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+74x^18+6x^21

The gray image is a code over GF(3) with n=81, k=4 and d=54.
This code was found by Heurico 1.16 in 0.000167 seconds.