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 3 1 1 0 3 0 0 0 0 3 6 6 0 0 3 3 3 3 3 3 3 0 6 0 6 0 6 0 3 6 3 6 6 0 0 6 3 0 3 3 3 3 0 0 0 3 0 3 0 0 3 3 6 6 6 3 6 0 6 6 6 6 0 3 3 6 6 0 0 3 0 0 3 6 0 6 0 3 3 6 6 0 3 0 3 3 3 3 0 0 6 6 3 3 6 0 6 0 3 3 0 6 6 0 3 0 6 6 6 3 6 6 0 0 6 3 0 0 0 3 6 6 3 0 6 6 3 0 3 0 3 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 3 6 6 0 0 6 6 6 6 6 3 3 0 3 6 3 6 6 3 6 3 0 0 0 3 0 3 6 0 0 3 3 0 6 6 0 6 3 0 6 0 0 0 3 3 6 3 3 0 0 0 0 3 6 6 6 6 6 0 6 0 0 6 6 0 3 0 0 6 6 3 6 3 6 0 6 0 0 6 6 3 0 0 0 6 0 3 3 6 6 3 0 3 6 3 3 3 0 3 6 0 6 0 6 3 3 0 3 3 6 0 6 generates a code of length 64 over Z9 who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+90x^123+222x^126+324x^129+54x^132+18x^135+18x^141+2x^189 The gray image is a code over GF(3) with n=192, k=6 and d=123. This code was found by Heurico 1.16 in 0.378 seconds.