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 2 2 2 4 2 4 0 0 0 1 1 1 1 1 0 0 2 4 1 2 4 1 2 1 1 0 1 0 1 4 1 1 1 2 2 4 2 1 1 2 4 1 0 1 2 1 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 4 6 4 2 6 2 4 4 6 4 0 6 2 6 4 6 0 2 2 2 2 4 2 6 2 2 4 2 0 0 6 4 4 0 2 6 2 2 4 2 2 2 6 2 2 4 2 4 2 0 4 6 4 6 2 2 0 4 6 2 2 2 4 4 0 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 4 0 6 2 0 6 2 4 2 6 0 0 4 0 6 6 0 6 6 2 6 2 2 4 2 0 2 0 0 6 4 2 0 2 4 4 6 0 2 2 2 2 6 2 4 6 2 6 4 2 0 0 6 2 2 0 0 2 6 6 6 0 0 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 4 0 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 0 4 4 4 4 0 0 0 4 0 4 4 0 4 0 4 0 0 4 0 0 4 0 4 4 0 4 4 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 4 0 0 4 0 4 0 4 4 4 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 0 0 4 4 0 0 0 4 4 0 0 0 4 0 4 0 4 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 0 4 4 0 0 0 4 4 0 0 0 4 4 4 4 4 0 0 4 4 0 0 0 4 4 0 4 4 4 0 4 4 4 0 0 0 0 4 0 4 0 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 0 0 4 0 0 0 4 4 0 4 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 0 4 4 4 0 4 0 4 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 generates a code of length 80 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+37x^66+36x^67+126x^68+112x^69+242x^70+274x^71+326x^72+528x^73+590x^74+742x^75+935x^76+1052x^77+1144x^78+1372x^79+1376x^80+1336x^81+1301x^82+1064x^83+878x^84+768x^85+530x^86+482x^87+313x^88+248x^89+179x^90+110x^91+99x^92+52x^93+44x^94+16x^95+29x^96+18x^98+10x^100+8x^102+3x^104+3x^106 The gray image is a code over GF(2) with n=320, k=14 and d=132. This code was found by Heurico 1.16 in 22.8 seconds.