The generator matrix 1 0 1 1 1 1 1 0 1 1 1 1 1 1 3 3 1 1 1 0 1 1 8 7 0 8 1 3 3 7 4 2 2 1 1 6 6 0 0 0 6 0 3 3 6 6 3 0 6 3 6 0 6 0 0 3 6 generates a code of length 19 over Z9 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+108x^36+108x^39+18x^42+6x^45+2x^54 The gray image is a code over GF(3) with n=57, k=5 and d=36. This code was found by Heurico 1.16 in 0.00121 seconds.