The generator matrix 1 1 1 1 1 1 0 3 0 3 0 3 0 0 3 6 6 6 generates a code of length 6 over Z9 who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+10x^9+60x^12+6x^15+4x^18 The gray image is a code over GF(3) with n=18, k=4 and d=9. This code was found by Heurico 1.16 in 0.000106 seconds.