The generator matrix

 1  1  1  3  3
 0  9 18  9  0

generates a code of length 5 over Z27 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+14x^9+54x^10+12x^12

The gray image is a code over GF(3) with n=45, k=4 and d=27.
This code was found by Heurico 1.16 in 6.6e-005 seconds.