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 1 1 1 1 1 1 1 2 2 2 2 1 2 2 1 2 2 1 4 1 4 4 1 1 1 1 1 2 1 1 2 1 2 1 4 1 1 4 0 4 1 0 1 1 8 2 2 2 1 4 1 4 4 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 8 4 8 8 12 12 4 0 12 4 8 4 4 0 12 8 0 4 0 12 8 12 4 4 8 4 4 0 12 0 8 8 12 4 4 4 8 12 12 12 0 8 12 8 0 8 8 8 4 12 4 4 4 4 12 8 8 4 12 12 0 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 0 4 4 8 4 4 8 0 0 0 12 12 4 12 8 12 8 0 4 12 4 0 0 4 8 4 12 12 4 12 12 0 8 8 12 12 12 4 8 8 8 8 0 8 4 4 8 12 4 4 4 8 0 12 4 8 0 12 0 4 4 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 0 0 8 8 8 0 8 8 8 0 8 8 0 8 8 8 8 8 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 8 0 8 0 8 0 8 0 0 8 0 0 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 8 8 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 8 8 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 0 8 8 0 0 8 8 8 0 8 0 8 8 8 0 0 8 0 8 0 8 0 0 0 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 8 8 0 0 0 0 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 8 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 0 8 0 0 0 8 0 0 8 8 8 0 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 8 8 0 8 8 0 0 8 0 8 8 8 8 8 8 8 0 8 0 0 0 0 0 8 0 0 8 8 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+54x^70+36x^71+147x^72+140x^73+256x^74+276x^75+346x^76+646x^77+588x^78+1304x^79+825x^80+3496x^81+1181x^82+6464x^83+1382x^84+6232x^85+1239x^86+3542x^87+900x^88+1460x^89+524x^90+524x^91+347x^92+270x^93+161x^94+124x^95+98x^96+40x^97+66x^98+16x^99+36x^100+4x^101+19x^102+2x^103+11x^104+4x^106+1x^108+3x^110+2x^112+1x^114 The gray image is a code over GF(2) with n=672, k=15 and d=280. This code was found by Heurico 1.16 in 40.7 seconds.