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 2 1 2 1 1 2 1 2 1 2 2 4 0 1 2 1 4 2 0 1 1 1 4 1 1 1 1 0 1 1 4 1 2 2 1 1 1 1 0 2 4 0 1 1 1 1 2 4 2 1 2 2 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 12 4 0 0 8 0 0 12 12 8 4 12 0 12 12 8 12 12 12 8 12 12 12 4 12 12 12 12 12 4 0 4 12 12 4 12 8 4 4 8 8 12 0 4 0 4 0 8 12 4 12 12 4 8 8 0 0 0 8 8 8 12 12 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 0 0 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 0 8 8 0 0 8 0 8 8 0 8 0 8 0 8 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 8 0 8 0 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 0 0 0 0 8 8 0 0 8 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 8 8 0 8 8 8 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 8 8 0 0 8 0 8 0 0 8 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 8 0 0 8 0 8 0 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 8 8 8 0 0 8 8 8 0 8 0 0 0 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 0 0 0 0 8 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 8 0 0 8 8 0 0 8 8 0 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 0 0 0 8 8 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 8 0 8 8 0 0 8 0 0 8 0 0 8 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 0 0 0 8 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 8 8 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 0 8 0 0 0 0 8 generates a code of length 83 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+64x^68+16x^69+126x^70+40x^71+247x^72+110x^73+288x^74+232x^75+560x^76+352x^77+1534x^78+472x^79+4199x^80+530x^81+7309x^82+580x^83+7363x^84+576x^85+4280x^86+440x^87+1502x^88+338x^89+529x^90+240x^91+256x^92+112x^93+155x^94+40x^95+106x^96+14x^97+68x^98+4x^99+27x^100+32x^102+9x^104+13x^106+2x^108+1x^110+1x^114 The gray image is a code over GF(2) with n=664, k=15 and d=272. This code was found by Heurico 1.16 in 42.3 seconds.