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 2 1 1 2 1 2 1 2 1 2 2 4 1 1 0 4 1 2 1 1 1 0 1 2 1 4 1 1 2 2 1 1 2 1 1 1 0 2 4 1 1 1 1 1 1 1 1 2 2 2 1 4 1 2 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 0 4 0 8 12 12 0 8 12 12 0 12 12 0 12 12 12 12 12 12 12 8 4 4 12 0 12 4 8 4 4 0 12 4 12 0 12 12 4 0 8 12 4 12 0 4 12 12 12 12 4 0 12 0 4 12 8 12 4 12 12 0 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 0 8 0 8 8 0 8 8 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 0 8 8 0 0 8 0 8 8 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 0 0 8 8 0 8 0 0 8 8 8 0 0 8 0 0 8 0 0 0 0 0 8 8 8 0 8 0 0 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 8 8 8 0 0 0 8 8 0 8 0 0 0 0 8 8 0 8 8 0 0 0 0 8 0 8 8 0 0 8 0 0 8 8 0 8 0 0 8 8 8 8 8 0 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 0 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 0 0 0 0 0 8 8 8 0 8 0 8 0 8 8 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 8 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 8 0 0 0 8 0 8 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 8 8 8 0 0 8 0 0 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 8 0 0 8 8 8 8 8 0 0 0 8 0 0 8 0 8 8 0 0 8 0 0 8 0 0 0 0 8 0 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 8 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 0 0 8 8 8 0 8 8 8 8 8 0 0 0 8 0 0 0 8 8 0 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+95x^68+36x^70+324x^72+20x^73+182x^74+60x^75+692x^76+172x^77+574x^78+612x^79+1503x^80+2888x^81+1668x^82+6488x^83+2194x^84+6488x^85+1712x^86+2888x^87+1370x^88+612x^89+718x^90+172x^91+574x^92+60x^93+206x^94+20x^95+246x^96+24x^98+115x^100+41x^104+10x^108+2x^112+1x^120 The gray image is a code over GF(2) with n=672, k=15 and d=272. This code was found by Heurico 1.16 in 42.5 seconds.