The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 6 3 1 0 1 3 3 1 6 1 6 1 1 1 6 0 1 1 1 3 1 1 1 1 1 1 0 1 0 0 6 0 3 3 6 6 6 6 1 8 4 5 4 1 1 1 1 7 1 1 2 1 7 1 5 8 2 1 3 8 5 1 1 4 1 8 7 5 3 0 0 1 0 0 3 7 8 7 8 4 2 1 5 1 6 4 1 5 6 4 3 0 4 3 5 6 8 3 4 8 3 6 7 4 5 1 5 2 0 4 1 6 0 0 0 1 7 5 7 1 5 0 3 8 6 8 1 8 5 1 1 5 6 1 7 2 4 3 3 8 0 7 6 5 1 6 2 4 0 2 6 5 0 8 0 generates a code of length 43 over Z9 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+726x^78+1214x^81+1272x^84+1212x^87+1056x^90+684x^93+294x^96+96x^99+6x^102 The gray image is a code over GF(3) with n=129, k=8 and d=78. This code was found by Heurico 1.16 in 29 seconds.