The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 0 0 3 0 3 3 6 0 0 3 3 0 6 3 6 6 0 3 6 0 3 6 6 6 6 0 0 0 3 3 0 3 3 6 0 0 3 3 0 6 3 6 6 0 3 6 0 3 6 6 6 6 0 0 0 3 3 0 3 3 6 0 0 3 0 6 3 6 3 6 0 3 3 0 6 0 0 3 3 6 6 6 6 3 0 0 3 6 0 0 3 6 3 3 6 0 6 0 3 3 0 6 0 0 3 3 6 6 6 6 3 0 0 3 6 0 0 3 6 3 3 6 0 6 0 0 0 3 6 6 0 6 6 6 3 0 6 0 6 3 3 0 3 3 3 6 3 0 3 6 0 0 3 6 6 6 3 3 3 6 6 0 0 0 3 3 6 6 3 0 0 0 6 3 0 6 0 3 0 3 6 6 6 3 3 3 6 generates a code of length 63 over Z9 who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+36x^123+186x^126+18x^132+2x^189 The gray image is a code over GF(3) with n=189, k=5 and d=123. This code was found by Heurico 1.16 in 0.0378 seconds.