The generator matrix

 1  1  1  1  1  1  1  1  1
 0  3  9 21 18 12 24  6 15

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

Homogenous weight enumerator: w(x)=1x^0+240x^18+2x^27

The gray image is a code over GF(3) with n=81, k=5 and d=54.
This code was found by Heurico 1.16 in 0.000218 seconds.