The generator matrix 1 0 0 1 1 1 1 1 1 6 1 1 1 1 1 1 1 6 0 0 1 0 6 1 7 8 0 2 1 6 4 7 8 4 2 1 1 1 0 0 1 7 1 6 2 8 6 7 4 8 7 4 3 0 2 5 6 generates a code of length 19 over Z9 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+144x^34+54x^35+128x^36+72x^38+78x^39+108x^40+18x^41+12x^42+72x^43+18x^44+24x^45 The gray image is a code over GF(3) with n=57, k=6 and d=34. This code was found by Heurico 1.16 in 0.713 seconds.