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 3 3 3 3 3 3 0 0 0 0 3 0 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 0 3 3 6 6 3 6 3 3 3 0 0 3 6 6 3 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 6 3 0 3 0 6 0 3 6 generates a code of length 39 over Z9 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+72x^78+2x^81+6x^90 The gray image is a code over GF(3) with n=117, k=4 and d=78. This code was found by Heurico 1.16 in 0.00542 seconds.