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 3 1 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 0 3 6 6 3 3 3 0 6 6 3 3 3 6 0 0 6 3 6 3 3 3 0 0 3 3 0 6 0 6 6 6 0 0 3 0 0 0 0 3 6 6 6 0 0 6 3 6 3 0 3 3 3 0 0 6 6 6 6 6 0 6 0 3 3 3 0 6 6 0 0 0 3 0 0 0 3 0 0 3 6 0 6 0 0 6 3 3 6 0 3 6 6 6 3 0 6 6 3 6 0 6 6 3 6 3 3 3 3 3 6 0 3 0 0 0 0 0 3 0 6 6 3 0 6 6 6 0 6 6 0 6 6 3 0 0 0 6 6 3 6 6 0 0 3 0 6 6 6 3 6 0 3 6 0 0 0 0 0 0 3 6 6 6 6 6 6 3 6 3 3 6 3 0 6 6 0 3 3 6 0 6 0 3 3 3 3 3 6 6 3 6 3 6 0 6 generates a code of length 41 over Z9 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+96x^72+214x^75+486x^80+86x^81+972x^83+138x^84+42x^90+112x^93+18x^99+20x^102+2x^120 The gray image is a code over GF(3) with n=123, k=7 and d=72. This code was found by Heurico 1.16 in 4.9 seconds.