The generator matrix 1 0 0 1 1 1 2 1 1 6 1 4 1 6 1 1 1 2 1 2 6 1 1 0 4 1 4 1 0 2 1 1 1 6 0 2 1 1 1 1 1 1 2 1 1 1 4 4 2 1 1 1 4 6 1 1 4 1 1 0 1 1 1 1 1 4 1 4 4 1 1 1 1 2 6 1 6 1 0 1 0 2 1 3 1 0 6 4 7 1 1 1 2 3 5 2 0 1 1 6 3 1 2 5 1 4 2 1 2 1 3 0 1 1 7 6 7 3 6 0 1 3 5 2 4 4 1 6 0 6 1 1 4 7 1 5 6 1 1 1 6 0 3 1 3 1 1 4 0 1 4 1 2 2 1 0 0 0 1 1 3 6 1 6 3 1 1 1 2 4 2 0 5 1 3 2 3 0 3 3 1 0 2 1 1 2 6 6 3 1 2 5 6 0 1 6 3 7 4 1 4 4 1 1 7 5 1 0 0 3 2 7 6 5 7 0 6 2 1 7 1 7 0 5 3 2 6 2 2 1 1 6 7 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 4 4 0 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 4 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 0 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 4 4 0 0 0 4 0 0 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 0 4 4 0 4 4 0 4 4 0 0 4 4 4 0 4 0 4 0 0 4 4 0 0 0 0 4 4 0 4 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 0 4 0 4 4 4 4 4 0 0 4 4 4 4 4 4 4 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 4 0 4 0 4 4 0 0 4 4 0 4 0 4 4 0 0 0 0 4 4 0 4 0 0 0 0 0 0 4 4 4 0 0 4 0 4 4 4 4 0 4 0 4 0 4 0 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 0 4 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+44x^66+108x^67+191x^68+498x^69+519x^70+1198x^71+938x^72+2024x^73+1440x^74+3004x^75+1912x^76+3430x^77+2197x^78+3466x^79+2024x^80+3038x^81+1422x^82+1944x^83+900x^84+1090x^85+411x^86+470x^87+142x^88+152x^89+84x^90+48x^91+20x^92+6x^93+23x^94+2x^95+15x^96+2x^97+2x^98+1x^100+2x^102 The gray image is a code over GF(2) with n=312, k=15 and d=132. This code was found by Heurico 1.16 in 46.7 seconds.