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 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 2 2 4 0 1 2 2 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 2 6 6 6 2 2 6 2 2 2 2 6 6 6 4 6 4 0 6 6 4 4 6 2 6 6 6 6 4 0 6 6 6 6 2 6 2 4 2 2 6 6 2 2 2 4 0 2 6 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 6 6 2 6 6 6 6 6 4 4 4 6 0 6 2 0 4 6 4 0 2 0 6 2 0 6 6 6 0 6 4 0 6 4 2 4 4 4 6 2 4 2 0 4 6 2 6 0 0 4 2 6 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 4 4 2 6 2 2 0 0 2 4 4 2 0 2 6 4 2 4 2 4 6 6 6 6 6 2 4 6 2 6 2 0 2 0 6 0 2 6 0 6 2 6 6 4 0 2 2 4 0 2 0 4 6 4 2 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 0 0 6 4 6 0 0 6 2 4 4 6 2 2 2 2 6 2 0 6 4 2 4 2 0 6 6 0 2 2 2 6 0 2 4 6 4 6 2 4 4 2 4 0 4 6 2 4 0 0 2 4 6 4 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 4 4 2 6 6 6 2 6 2 2 6 2 2 4 2 4 6 2 4 6 2 6 2 6 0 4 6 0 6 6 4 6 2 0 4 4 0 2 2 4 0 4 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 2 6 4 2 2 4 6 4 6 2 6 4 0 4 6 6 6 4 4 0 0 4 6 2 0 6 4 4 4 2 0 0 6 2 6 0 4 6 2 0 6 0 4 2 4 2 0 2 0 4 4 6 2 2 6 generates a code of length 70 over Z8 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+62x^57+156x^58+266x^59+348x^60+482x^61+594x^62+650x^63+730x^64+932x^65+1318x^66+1942x^67+2917x^68+3928x^69+4195x^70+3732x^71+3065x^72+1978x^73+1257x^74+1024x^75+778x^76+626x^77+513x^78+416x^79+296x^80+220x^81+153x^82+96x^83+56x^84+28x^85+6x^86+2x^87+1x^124 The gray image is a code over GF(2) with n=280, k=15 and d=114. This code was found by Heurico 1.16 in 68.3 seconds.