The generator matrix

 1  1  1
 0  3 24
 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+54x^4+552x^6+108x^7+8x^9

The gray image is a code over GF(3) with n=27, k=6 and d=9.
This code was found by Heurico 1.16 in 6.79e-005 seconds.