The generator matrix

 1  1  1
 0  9  0
 0  0  9

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

Homogenous weight enumerator: w(x)=1x^0+6x^3+228x^6+8x^9

The gray image is a code over GF(3) with n=27, k=5 and d=9.
This code was found by Heurico 1.16 in 4.1e-005 seconds.