The generator matrix 1 0 1 0 1 15 0 0 16 generates a code of length 3 over Z27 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+72x^2+6x^3+1728x^4+288x^5+13836x^6+3456x^7+288x^8+8x^9 The gray image is a code over GF(3) with n=27, k=9 and d=6. This code was found by Heurico 1.16 in 0.00401 seconds.