The generator matrix

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

generates a code of length 5 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+20x^6+20x^9+648x^10+30x^12+10x^15

The gray image is a code over GF(3) with n=45, k=6 and d=18.
This code was found by Heurico 1.16 in 0.000134 seconds.