The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 1 6 1 1 0 1 12 1 1 1 10 1 1 1 0 1 1 1 6 1 10 1 1 1 1 1 12 1 0 1 1 1 1 1 10 12 1 6 1 1 1 0 6 12 0 1 1 1 1 0 1 3 6 5 1 12 7 1 10 9 1 0 3 1 6 5 1 9 1 12 10 15 1 6 3 0 1 12 10 5 1 10 1 9 0 15 9 6 1 0 1 3 15 6 6 15 1 1 6 1 5 3 12 1 1 1 1 5 3 14 10 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 0 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 0 8 0 8 0 8 0 8 8 0 0 0 8 0 0 8 0 0 8 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 0 0 8 8 8 8 0 8 8 0 0 8 0 0 8 0 8 0 0 0 8 0 0 8 0 8 0 0 8 8 8 8 0 0 8 0 0 0 0 8 0 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 0 0 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 8 8 0 8 0 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 8 8 8 8 8 0 0 0 8 8 0 8 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 8 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 0 0 8 0 0 8 0 8 0 8 8 8 8 8 8 8 0 8 0 0 0 0 0 8 8 0 0 0 0 0 8 0 0 8 8 0 0 generates a code of length 62 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+57x^54+72x^55+201x^56+472x^57+665x^58+1480x^59+1599x^60+2584x^61+2172x^62+2584x^63+1585x^64+1480x^65+632x^66+472x^67+182x^68+72x^69+40x^70+11x^72+11x^74+1x^76+2x^78+2x^80+4x^82+2x^84+1x^86 The gray image is a code over GF(2) with n=496, k=14 and d=216. This code was found by Heurico 1.16 in 5.19 seconds.