The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 8 2 1 1 0 1 2 1 4 1 2 1 0 1 2 1 1 2 1 1 2 1 1 1 1 0 2 1 1 2 1 1 1 1 12 2 2 1 1 1 8 1 1 2 2 1 8 1 0 1 4 0 1 0 1 1 4 1 8 8 2 2 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 0 4 6 4 6 12 10 12 2 8 14 8 8 6 6 2 2 14 14 4 2 0 14 6 2 10 10 12 2 14 14 8 10 10 8 14 14 6 8 2 14 2 2 12 14 14 4 4 14 2 2 0 14 0 4 0 2 10 4 2 6 14 2 12 2 10 12 4 10 2 8 6 2 4 4 2 8 0 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 12 0 12 12 12 8 4 4 12 8 4 8 12 4 12 12 8 0 4 4 8 8 4 0 0 12 4 12 12 8 4 0 12 8 12 12 4 12 4 8 0 12 12 0 8 4 8 12 12 0 12 0 8 0 4 0 4 12 0 8 0 4 8 0 0 12 4 0 8 12 8 0 12 8 12 8 8 8 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 8 4 8 12 12 12 8 12 4 4 8 4 4 4 0 12 12 8 0 0 8 4 8 4 0 12 0 4 8 8 0 0 8 0 4 8 4 12 4 0 12 8 12 8 12 12 12 4 8 0 4 4 4 8 4 4 0 12 0 8 4 8 0 4 8 0 8 4 4 0 4 12 8 0 4 4 12 12 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 0 8 4 8 0 12 8 4 4 8 12 0 8 12 8 4 8 4 0 0 0 0 8 12 12 4 4 0 4 4 8 12 0 4 8 4 8 12 12 4 8 0 8 12 4 8 12 0 4 4 8 8 0 8 4 4 0 12 0 12 4 8 4 4 4 0 0 12 0 8 4 0 12 0 8 4 4 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 12 8 4 12 8 12 0 4 0 12 8 8 0 4 8 8 4 12 12 8 8 4 0 4 0 4 0 8 12 0 4 0 4 0 0 8 8 4 4 12 12 4 4 0 4 8 0 0 8 4 12 4 8 12 8 8 8 0 8 12 8 4 8 4 4 4 8 12 4 8 8 0 8 8 8 8 12 0 generates a code of length 93 over Z16 who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+108x^82+72x^83+512x^84+296x^85+756x^86+808x^87+1567x^88+1592x^89+2540x^90+2660x^91+4017x^92+3248x^93+3656x^94+2960x^95+2494x^96+1704x^97+1390x^98+656x^99+726x^100+248x^101+284x^102+72x^103+201x^104+16x^105+76x^106+4x^107+62x^108+16x^110+17x^112+6x^114+2x^116+1x^124 The gray image is a code over GF(2) with n=744, k=15 and d=328. This code was found by Heurico 1.16 in 36.1 seconds.