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 1 1 1 1 1 2 1 2 2 2 2 4 1 1 1 4 2 2 2 1 1 1 0 2 1 2 4 1 8 1 4 2 4 4 2 2 1 1 1 4 1 4 4 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 4 12 8 4 8 8 12 12 12 12 4 12 12 8 12 0 4 4 8 4 4 12 8 12 0 4 8 4 8 0 8 0 0 0 4 8 0 0 12 12 12 12 12 4 12 8 4 8 4 4 4 4 12 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 8 8 4 4 12 12 0 12 12 0 0 0 4 0 12 8 0 4 12 8 0 12 4 8 12 4 4 8 0 12 12 4 0 8 0 0 4 4 4 0 12 12 0 8 4 0 8 8 12 8 4 0 8 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 8 4 4 8 4 4 8 4 8 12 4 8 8 0 4 4 0 4 0 4 12 12 12 4 12 8 0 8 4 0 8 4 0 4 4 0 4 12 4 12 0 0 12 0 0 8 4 4 12 0 4 0 12 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 8 0 8 8 8 0 0 8 8 0 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 8 8 0 0 0 0 8 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 8 0 0 8 0 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 8 8 0 8 8 0 0 0 8 0 8 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 0 8 8 8 8 0 8 0 0 8 8 8 8 0 8 0 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 0 0 8 8 0 0 8 0 0 0 8 8 0 8 0 0 0 0 8 0 8 0 generates a code of length 80 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+192x^68+4x^69+410x^70+36x^71+718x^72+208x^73+984x^74+672x^75+1891x^76+1928x^77+3704x^78+3336x^79+4910x^80+3232x^81+3500x^82+1920x^83+1889x^84+724x^85+1018x^86+180x^87+661x^88+48x^89+288x^90+181x^92+68x^94+40x^96+12x^98+7x^100+5x^104+1x^112 The gray image is a code over GF(2) with n=640, k=15 and d=272. This code was found by Heurico 1.16 in 38.5 seconds.