The generator matrix 1 1 1 1 0 9 18 0 generates a code of length 4 over Z27 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+2x^6+72x^8+4x^9+2x^12 The gray image is a code over GF(3) with n=36, k=4 and d=18. This code was found by Heurico 1.16 in 4.2e-005 seconds.