The generator matrix 1 0 1 0 1 16 generates a code of length 3 over Z27 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+72x^4+510x^6+144x^7+2x^9 The gray image is a code over GF(3) with n=27, k=6 and d=12. This code was found by Heurico 1.16 in 4.01e-005 seconds.