The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 3 1 1 1 1 0 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 0 6 3 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 3 1 0 1 1 8 0 7 8 1 0 7 8 1 2 3 7 1 0 4 3 8 1 7 2 1 3 4 2 1 3 4 2 1 6 5 0 2 4 6 8 1 3 5 7 4 1 1 1 1 0 6 3 6 6 6 7 1 4 1 1 1 0 7 0 7 3 4 3 4 8 3 1 2 1 7 0 0 6 0 3 6 3 0 6 3 0 6 6 3 0 3 0 3 6 3 3 0 6 6 6 0 3 6 3 6 0 0 3 0 6 3 0 0 6 3 0 6 3 6 3 3 0 6 3 0 0 3 6 6 6 6 3 3 0 0 0 6 3 3 6 0 3 3 0 0 6 6 0 6 0 0 0 3 3 6 6 3 0 0 6 0 6 0 6 0 3 6 3 3 3 0 3 3 0 6 6 0 3 0 3 3 0 6 3 3 0 0 3 0 3 6 6 6 0 3 0 3 0 3 0 3 0 3 0 6 0 6 6 0 6 3 6 3 6 3 6 3 0 6 6 0 6 3 generates a code of length 74 over Z9 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+220x^144+222x^147+144x^150+106x^153+30x^156+6x^180 The gray image is a code over GF(3) with n=222, k=6 and d=144. This code was found by Heurico 1.16 in 0.0803 seconds.