The generator matrix 1 0 1 1 1 6 1 1 0 1 2 1 4 1 1 1 1 0 1 1 6 1 1 2 1 1 2 1 1 1 0 1 1 4 2 4 1 1 2 1 1 1 2 1 1 1 1 2 1 1 4 1 0 1 1 6 6 1 1 1 1 1 4 1 1 2 1 4 1 1 1 1 1 1 2 2 1 1 0 1 1 6 3 1 0 3 1 2 1 5 1 0 7 4 3 1 2 1 1 2 5 1 3 1 1 2 1 0 1 4 5 1 1 1 5 0 1 6 7 4 1 7 0 3 6 1 2 6 1 4 1 5 3 1 1 3 2 7 5 2 1 4 1 1 1 1 5 4 0 4 7 0 2 4 5 0 0 0 2 0 6 0 6 0 6 6 2 4 2 4 2 2 4 4 2 2 0 4 4 2 2 2 4 6 2 4 4 2 0 6 2 6 0 4 4 4 2 6 2 6 4 4 0 6 2 0 4 2 4 2 4 0 0 0 0 6 4 4 4 2 0 6 6 2 4 0 4 4 2 6 2 2 4 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 4 0 4 4 4 0 0 0 0 4 4 0 4 0 4 4 0 4 0 0 0 4 4 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 4 0 4 4 4 0 0 4 4 0 0 4 0 0 4 4 0 0 4 4 0 4 4 0 4 0 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 4 4 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 0 4 4 0 4 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 0 0 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 0 0 4 0 0 0 4 0 4 4 4 4 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 0 4 4 4 4 4 4 0 4 0 0 4 0 0 0 0 0 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 4 0 4 0 4 4 4 4 0 0 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 0 0 4 0 4 4 4 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 0 0 0 0 4 4 4 0 4 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 4 0 4 0 4 4 4 4 4 0 4 4 4 0 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 4 0 4 0 0 4 0 0 4 0 4 4 4 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+27x^66+46x^67+152x^68+224x^69+302x^70+356x^71+547x^72+792x^73+1019x^74+1260x^75+1342x^76+1438x^77+1510x^78+1486x^79+1349x^80+1150x^81+892x^82+770x^83+594x^84+432x^85+266x^86+156x^87+79x^88+56x^89+56x^90+20x^91+22x^92+2x^93+14x^94+2x^95+6x^96+2x^97+5x^98+2x^100+4x^102+2x^104+1x^106 The gray image is a code over GF(2) with n=312, k=14 and d=132. This code was found by Heurico 1.16 in 15.4 seconds.