The generator matrix

 1  1
 0  9

generates a code of length 2 over Z27 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+4x^3+72x^4+4x^6

The gray image is a code over GF(3) with n=18, k=4 and d=9.
This code was found by Heurico 1.16 in 2.5e-005 seconds.