The generator matrix 1 0 0 1 1 1 2 1 1 6 1 4 1 6 4 1 1 4 1 6 1 1 1 1 4 0 2 1 1 1 6 2 1 6 1 4 1 6 1 1 1 6 2 1 1 1 1 1 0 4 6 1 1 6 6 1 4 6 4 1 6 1 4 2 1 2 1 1 1 1 1 2 0 2 1 1 2 0 1 0 2 1 3 1 0 6 4 7 1 3 1 2 7 0 1 6 1 1 5 4 3 4 1 1 2 7 2 1 2 1 1 5 1 4 1 5 5 4 2 1 0 7 1 0 5 1 1 4 6 6 1 6 0 6 0 1 0 1 2 2 6 1 6 1 0 3 3 0 1 1 0 3 4 1 0 0 1 1 3 6 1 6 3 1 1 1 0 0 1 7 3 2 0 3 2 0 5 7 1 3 2 2 4 5 2 1 1 7 1 6 6 7 4 6 0 1 2 7 1 6 5 5 1 6 1 4 4 4 1 5 1 1 7 6 1 0 1 1 2 1 5 5 0 6 1 7 7 1 4 7 1 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 4 4 0 4 4 4 0 4 0 4 4 4 0 0 4 4 0 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 4 0 4 0 0 4 4 0 4 4 0 0 4 0 4 0 0 0 0 0 0 4 4 4 0 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 4 4 4 4 0 4 0 0 4 0 4 4 0 4 4 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 4 0 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 4 0 4 4 4 4 4 4 4 0 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 0 4 4 0 4 4 0 4 4 0 4 0 4 4 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 4 4 0 0 0 4 4 4 0 0 4 4 4 0 4 4 0 4 4 0 4 4 4 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 4 0 0 0 0 0 4 0 4 0 0 0 4 0 4 0 0 0 4 0 4 generates a code of length 77 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+123x^66+124x^67+533x^68+404x^69+1250x^70+896x^71+1993x^72+1596x^73+2985x^74+2020x^75+3465x^76+2176x^77+3353x^78+2104x^79+2980x^80+1552x^81+2009x^82+892x^83+1081x^84+396x^85+425x^86+104x^87+138x^88+20x^89+79x^90+4x^91+39x^92+11x^94+7x^96+4x^98+2x^100+1x^102+1x^104 The gray image is a code over GF(2) with n=308, k=15 and d=132. This code was found by Heurico 1.16 in 48.5 seconds.