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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 2 1 0 2 2 4 0 2 2 0 0 2 0 4 0 0 2 1 1 1 1 0 1 1 4 1 1 0 2 4 2 1 1 1 0 2 0 0 0 0 0 0 0 2 2 6 4 6 2 6 2 4 2 4 2 0 6 4 0 6 4 2 0 6 4 0 2 4 2 2 6 0 2 0 2 2 4 6 4 6 0 2 2 4 2 0 2 0 4 0 6 0 4 4 4 4 4 6 2 2 2 0 4 0 6 6 2 2 4 0 2 0 0 2 6 0 4 0 2 6 0 0 2 0 0 0 2 6 2 2 2 4 0 2 4 2 0 2 4 6 2 6 0 6 4 6 4 6 0 2 6 0 0 6 2 0 4 4 2 2 6 2 4 4 6 0 2 6 2 4 0 6 6 4 4 6 2 2 2 2 4 4 2 2 4 0 2 2 2 4 0 4 2 4 0 4 6 2 6 2 2 4 0 2 0 0 0 0 0 2 0 2 2 6 0 0 2 2 4 0 0 2 6 4 4 6 0 2 6 4 2 0 4 2 0 2 0 0 4 2 2 4 2 6 6 4 4 4 2 4 2 6 0 6 4 6 0 0 2 6 0 4 0 0 6 0 4 4 2 6 6 6 6 6 0 2 6 2 4 2 0 4 4 2 6 2 0 2 2 4 0 0 0 0 0 0 2 2 0 6 2 0 2 2 4 2 6 4 4 0 0 2 2 4 6 2 2 0 4 2 2 6 0 4 6 6 4 2 0 2 4 2 2 2 6 0 4 4 2 6 4 4 4 0 6 4 2 4 6 2 2 6 2 2 6 4 2 4 0 0 2 6 6 6 0 2 2 4 6 4 0 4 0 0 0 2 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 4 4 0 0 0 4 4 4 0 4 0 0 4 0 0 0 0 0 4 0 4 0 4 0 0 0 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 0 0 0 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 4 4 0 4 4 0 4 0 0 0 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 4 4 4 4 4 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 4 4 0 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 4 4 0 0 4 0 0 4 0 4 generates a code of length 86 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+101x^72+156x^73+237x^74+286x^75+476x^76+638x^77+671x^78+948x^79+1155x^80+1460x^81+1690x^82+2084x^83+2455x^84+2572x^85+2933x^86+2644x^87+2450x^88+2190x^89+1690x^90+1526x^91+1049x^92+854x^93+642x^94+540x^95+386x^96+256x^97+244x^98+152x^99+98x^100+64x^101+73x^102+12x^103+19x^104+2x^105+10x^106+1x^108+1x^110+1x^116+1x^122 The gray image is a code over GF(2) with n=344, k=15 and d=144. This code was found by Heurico 1.16 in 90 seconds.