The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 1 1 0 1 1 2 0 1 2 1 1 1 1 0 1 1 1 2 0 1 1 2 0 1 2 1 1 0 1 2 4 1 1 2 1 2 0 0 2 4 0 0 1 0 1 1 2 2 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 0 6 0 6 6 2 6 0 6 2 2 0 6 2 0 6 6 4 6 6 2 0 4 2 6 2 6 4 6 2 2 6 0 6 2 6 6 4 4 6 6 6 4 2 2 2 4 2 2 0 2 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 0 4 4 4 4 4 0 4 0 0 0 4 0 4 4 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 4 0 4 0 0 4 4 4 0 4 4 4 4 4 0 0 0 4 4 0 4 4 0 0 4 4 0 4 4 4 4 0 0 0 4 0 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 4 0 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 0 0 4 4 0 0 4 4 4 0 0 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 4 4 0 0 0 4 0 4 4 0 0 4 0 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 4 0 0 4 4 4 0 0 0 0 4 4 4 0 0 0 0 4 0 0 4 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 0 0 4 0 4 4 0 4 4 0 4 0 0 4 0 0 0 4 0 4 4 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 0 0 4 4 4 4 0 4 0 4 0 4 4 0 4 4 4 4 4 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 4 4 4 0 0 0 4 0 4 0 0 4 4 4 0 0 4 4 4 0 0 4 0 0 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 0 4 4 0 0 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 4 4 4 0 0 4 0 0 4 4 0 4 0 4 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 4 0 4 0 4 0 0 0 0 4 0 4 4 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 4 4 4 4 0 4 4 4 0 0 4 4 0 generates a code of length 74 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+74x^56+65x^58+8x^59+229x^60+64x^61+209x^62+154x^63+506x^64+318x^65+731x^66+524x^67+1545x^68+750x^69+2773x^70+1036x^71+3958x^72+1168x^73+4391x^74+1242x^75+3963x^76+1148x^77+2807x^78+770x^79+1495x^80+510x^81+860x^82+304x^83+379x^84+118x^85+273x^86+56x^87+107x^88+20x^89+115x^90+2x^91+28x^92+48x^94+2x^96+13x^98+2x^102+1x^104+1x^106 The gray image is a code over GF(2) with n=296, k=15 and d=112. This code was found by Heurico 1.16 in 79.2 seconds.