The generator matrix
1 1
0 21
generates a code of length 2 over Z27 who´s minimum homogenous weight is 2.
Homogenous weight enumerator: w(x)=1x^0+12x^2+4x^3+198x^4+24x^5+4x^6
The gray image is a code over GF(3) with n=18, k=5 and d=6.
This code was found by Heurico 1.16 in 1.88e-005 seconds.