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 2 1 1 1 1 1 1 1 2 1 1 1 2 4 1 1 1 4 2 1 1 2 1 1 1 2 2 1 4 1 1 1 4 2 2 1 1 4 4 2 1 1 2 4 1 0 12 0 0 0 4 12 4 8 0 4 0 8 4 4 4 4 8 8 0 0 12 4 4 12 0 0 4 8 12 8 0 8 12 8 8 4 12 4 0 4 0 4 4 4 8 8 12 0 8 8 4 4 12 0 0 0 4 0 8 4 0 8 8 0 4 4 0 8 4 4 12 8 12 12 8 0 0 0 12 0 4 4 12 0 0 4 8 0 12 12 8 4 4 0 8 12 12 12 0 4 0 0 8 12 0 8 0 12 12 12 4 12 12 0 12 0 8 12 4 4 12 12 8 4 12 4 8 4 0 4 12 8 12 0 0 12 8 0 4 8 12 8 8 0 0 12 12 12 0 4 4 4 4 0 0 0 12 4 0 12 4 4 8 0 8 4 4 4 8 8 4 0 0 4 12 8 4 4 0 8 8 4 4 12 12 12 12 0 0 12 4 8 4 12 12 8 4 0 4 0 0 4 8 12 4 0 4 0 0 0 0 4 4 12 0 8 8 0 8 0 4 8 8 8 4 4 12 12 0 4 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 0 8 8 8 8 0 8 0 8 8 8 0 8 0 0 8 0 0 0 0 8 0 8 8 8 8 0 0 8 0 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 8 8 0 0 8 8 8 8 0 8 0 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 0 0 0 8 0 8 0 0 8 0 8 0 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 generates a code of length 77 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+75x^68+106x^69+128x^70+208x^71+194x^72+370x^73+565x^74+688x^75+1125x^76+1484x^77+1114x^78+636x^79+515x^80+282x^81+170x^82+152x^83+95x^84+96x^85+51x^86+32x^87+34x^88+28x^89+17x^90+8x^91+9x^92+2x^93+2x^94+4x^95+1x^118 The gray image is a code over GF(2) with n=616, k=13 and d=272. This code was found by Heurico 1.16 in 2.57 seconds.