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 1 1 1 1 1 1 1 4 0 1 2 2 1 2 2 12 1 2 4 12 12 2 2 1 2 1 4 1 1 2 1 12 2 1 2 1 1 1 1 2 1 2 0 1 1 1 1 1 0 2 0 0 0 2 6 14 4 4 10 10 10 2 0 4 6 4 6 6 8 8 14 4 2 4 2 6 0 12 2 0 12 6 8 0 2 2 2 14 10 14 2 0 10 4 8 14 4 2 8 0 10 14 10 2 0 4 10 12 14 4 10 14 14 0 8 0 10 0 0 8 2 6 4 8 2 0 0 0 2 0 2 2 2 0 8 10 0 2 4 2 6 12 8 6 14 0 4 4 4 10 0 14 14 0 14 2 14 0 8 14 12 4 6 10 10 4 12 6 14 10 4 2 10 6 2 14 8 8 0 0 0 12 2 8 10 4 10 8 2 14 4 12 6 4 4 4 0 14 12 2 0 0 12 12 0 0 0 2 2 0 2 2 2 14 4 10 2 12 0 8 8 10 6 14 8 6 0 12 14 4 8 4 10 10 2 12 6 12 12 2 4 0 10 10 12 10 14 0 2 12 6 10 6 12 2 2 10 8 0 0 4 0 6 6 0 2 2 2 12 2 6 12 10 6 14 6 6 4 8 0 14 4 0 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 8 0 8 8 8 0 0 0 0 8 8 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 8 0 8 8 0 0 8 8 0 8 8 0 0 0 0 0 8 8 8 8 0 8 8 0 0 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 0 8 0 8 0 0 0 8 0 0 8 0 0 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 8 8 8 0 0 8 8 0 8 0 8 8 8 0 0 8 8 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 0 8 8 0 8 0 8 0 8 8 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+166x^68+414x^69+788x^70+1082x^71+1674x^72+2364x^73+3404x^74+4668x^75+6229x^76+7784x^77+8291x^78+8044x^79+6322x^80+4722x^81+3387x^82+2250x^83+1521x^84+984x^85+683x^86+298x^87+192x^88+106x^89+77x^90+40x^91+16x^92+10x^93+9x^94+6x^96+2x^99+1x^104+1x^110 The gray image is a code over GF(2) with n=624, k=16 and d=272. This code was found by Heurico 1.16 in 88.8 seconds.