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 4 0 4 2 2 1 1 1 1 1 0 2 2 4 2 4 2 2 2 0 2 2 4 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 6 6 2 2 2 6 6 6 6 2 2 6 6 6 0 4 6 0 6 2 0 4 4 4 0 6 6 6 6 0 4 4 2 2 2 0 2 2 0 6 6 2 4 4 2 4 6 0 0 2 0 0 0 0 0 0 0 2 2 6 6 6 4 6 2 4 6 4 6 4 4 6 6 4 6 0 2 6 0 4 4 2 6 0 2 2 0 0 0 4 2 6 4 2 2 4 4 2 2 2 6 0 6 0 0 4 0 6 4 6 0 4 2 2 4 6 2 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 0 2 0 6 6 4 4 0 2 6 4 6 4 0 4 2 2 6 2 4 2 0 0 0 6 4 0 2 2 4 4 2 4 4 6 4 6 2 4 0 6 4 4 0 2 6 2 2 4 4 4 0 6 2 6 0 0 0 0 2 0 2 2 2 4 4 4 4 2 6 2 6 2 6 4 4 4 4 0 2 2 2 4 2 2 2 6 6 4 4 4 4 2 4 2 4 0 0 4 0 2 2 2 6 2 2 0 2 2 0 6 4 4 2 0 4 4 2 0 4 4 4 4 4 4 0 0 0 0 0 2 2 0 2 6 2 0 2 0 2 4 4 2 4 4 2 0 4 4 4 4 0 4 4 6 6 2 0 2 2 4 2 0 6 2 6 4 4 2 0 6 0 0 6 0 6 0 4 6 6 6 2 0 4 4 2 0 2 6 0 4 4 4 2 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 0 0 4 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 0 4 4 0 0 0 4 4 0 4 0 generates a code of length 70 over Z8 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+66x^57+158x^58+274x^59+370x^60+464x^61+615x^62+820x^63+986x^64+1348x^65+1732x^66+2176x^67+2757x^68+3064x^69+3175x^70+2990x^71+2758x^72+2264x^73+1780x^74+1374x^75+963x^76+740x^77+569x^78+460x^79+289x^80+208x^81+136x^82+96x^83+60x^84+36x^85+25x^86+2x^87+5x^88+2x^89+2x^90+1x^92+1x^100+1x^104 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 69 seconds.