The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 8 1 1 1 1 1 1 1 2 1 1 4 1 1 8 1 1 4 2 1 1 1 1 2 1 1 1 0 2 2 0 1 1 0 1 2 8 1 12 4 1 1 0 2 0 6 4 6 12 2 8 0 6 6 4 4 2 10 14 0 12 2 14 2 8 6 4 6 12 4 14 2 12 2 2 0 2 2 8 4 2 14 12 4 2 10 6 0 2 6 2 2 14 2 0 14 2 4 2 2 14 2 0 0 14 0 0 12 0 4 0 0 0 8 4 4 12 8 12 4 12 0 0 8 8 8 12 12 12 12 0 12 12 4 0 8 12 4 4 8 8 12 0 12 12 12 0 0 4 12 0 4 12 12 12 8 4 4 12 8 12 4 4 8 0 4 4 0 0 0 0 12 0 0 8 12 12 12 4 0 4 12 8 12 12 8 0 12 12 8 0 4 0 0 8 12 8 12 12 0 8 4 0 4 12 4 8 8 12 4 8 12 12 0 0 4 4 0 8 12 0 12 8 8 0 12 8 12 8 8 4 0 0 0 0 8 0 8 8 0 0 0 8 8 8 8 0 8 8 0 0 0 0 0 8 8 8 0 0 8 8 8 0 0 8 8 0 0 8 8 8 8 0 8 0 0 8 0 0 8 8 8 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 0 8 8 0 8 8 8 8 0 0 0 0 8 8 0 0 8 8 0 8 0 0 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 8 generates a code of length 63 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+122x^56+96x^57+348x^58+444x^59+736x^60+812x^61+1110x^62+920x^63+1214x^64+760x^65+694x^66+428x^67+200x^68+124x^69+80x^70+54x^72+28x^74+7x^76+10x^78+1x^80+2x^82+1x^92 The gray image is a code over GF(2) with n=504, k=13 and d=224. This code was found by Heurico 1.16 in 1.63 seconds.