The generator matrix 1 0 1 1 1 1 1 3 1 1 1 6 1 1 1 0 1 1 1 3 1 1 1 6 1 1 1 0 1 1 1 3 1 1 1 6 1 1 1 1 1 1 1 1 1 0 3 6 3 3 3 0 1 1 1 1 0 1 7 8 3 4 2 1 6 1 5 1 0 7 8 1 3 4 2 1 6 1 5 1 0 7 8 1 3 4 2 1 6 1 5 1 0 3 6 7 4 1 8 2 5 1 1 1 0 3 6 3 0 3 7 4 generates a code of length 56 over Z9 who´s minimum homogenous weight is 112. Homogenous weight enumerator: w(x)=1x^0+24x^112+36x^113+4x^114+12x^115+4x^120 The gray image is a code over GF(3) with n=168, k=4 and d=112. This code was found by Heurico 1.16 in 0.021 seconds.