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 1 1 2 2 2 2 2 4 1 1 8 2 4 2 4 8 1 1 1 4 8 1 2 4 1 2 2 1 1 4 2 4 1 4 2 1 2 4 2 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 4 12 4 4 8 4 0 8 8 12 12 8 8 8 12 0 12 0 4 4 0 12 0 12 0 8 12 8 4 12 0 4 0 8 4 0 12 0 4 4 4 4 4 4 4 8 0 4 12 4 8 4 12 8 8 4 0 4 12 4 8 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 8 12 12 0 4 8 8 4 4 0 12 12 8 4 12 4 0 0 12 0 12 8 8 4 0 4 0 0 0 4 0 4 4 0 4 12 8 4 8 12 8 4 4 4 0 8 4 12 12 0 8 0 12 0 4 0 8 12 0 0 4 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 12 4 4 12 0 12 8 12 4 8 8 0 12 4 12 0 0 8 0 8 12 0 12 4 12 8 0 8 0 8 8 4 12 12 0 12 8 12 12 12 12 0 4 8 12 4 0 4 4 8 12 12 12 12 8 8 0 0 12 12 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 4 4 8 0 12 8 0 12 0 8 8 12 0 12 8 8 8 0 4 4 4 12 0 0 8 0 8 12 12 12 12 0 0 4 0 4 8 8 0 4 4 0 12 8 0 4 12 12 0 12 8 0 12 12 8 4 12 12 4 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 8 8 0 0 0 0 8 8 0 8 8 8 8 0 0 8 0 8 8 0 0 8 8 8 8 0 0 8 0 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 0 0 8 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 8 8 0 8 8 8 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 8 8 8 0 0 8 generates a code of length 80 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+144x^68+8x^69+416x^70+52x^71+774x^72+144x^73+1190x^74+644x^75+2172x^76+1808x^77+3518x^78+3484x^79+4329x^80+3516x^81+3430x^82+1772x^83+2079x^84+628x^85+1078x^86+192x^87+629x^88+36x^89+378x^90+195x^92+4x^93+90x^94+42x^96+10x^98+1x^100+2x^102+1x^104+1x^108 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 37.6 seconds.