The generator matrix 1 0 0 1 1 1 1 1 1 1 1 3 0 1 1 1 6 6 1 1 1 1 1 1 6 3 0 3 0 1 1 1 0 1 1 1 1 1 0 3 1 6 0 1 0 0 3 7 7 1 5 8 8 1 3 5 6 7 1 1 1 8 3 5 7 3 1 0 1 1 6 6 4 6 1 0 7 1 6 1 1 1 8 3 0 0 1 1 5 6 2 4 7 2 0 3 1 2 5 5 7 2 6 6 0 4 6 5 5 1 0 2 1 2 8 0 7 2 8 3 7 5 7 8 1 1 0 0 0 6 6 0 6 6 3 3 6 3 3 0 0 3 3 0 3 0 0 6 6 3 0 3 6 6 0 3 0 6 0 3 3 0 6 0 3 0 3 3 generates a code of length 42 over Z9 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+414x^78+606x^81+426x^84+316x^87+208x^90+150x^93+60x^96+4x^99+2x^114 The gray image is a code over GF(3) with n=126, k=7 and d=78. This code was found by Heurico 1.13 in 0.047 seconds.