The generator matrix 1 0 1 1 1 0 1 1 0 1 1 6 1 1 2 1 0 0 4 1 0 1 1 4 2 2 2 1 1 1 6 4 1 0 2 1 1 1 1 1 2 6 4 6 2 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 6 5 1 0 7 1 7 1 1 1 1 1 4 4 1 4 4 0 6 6 6 1 1 3 2 6 1 6 3 5 4 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 6 6 0 0 2 2 2 0 0 2 4 6 2 4 2 0 4 6 4 0 0 0 6 4 6 2 4 4 2 2 4 2 2 6 0 2 0 0 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 2 6 0 2 0 2 4 6 6 2 0 4 2 4 6 2 2 2 0 4 6 0 2 0 6 2 4 0 0 4 2 4 6 4 2 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 0 2 0 2 2 6 6 0 4 2 2 6 4 0 2 6 0 6 2 4 4 4 6 0 2 4 6 0 0 6 2 2 4 4 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 0 0 4 4 0 0 4 4 4 4 4 0 4 0 0 0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 4 4 4 0 4 0 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 0 4 4 0 0 0 4 4 0 0 4 0 4 4 0 4 0 4 0 0 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 0 4 0 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 4 0 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+49x^34+122x^36+24x^37+280x^38+64x^39+529x^40+204x^41+885x^42+476x^43+1254x^44+564x^45+1444x^46+452x^47+1439x^48+652x^49+1905x^50+1516x^51+3478x^52+3332x^53+5640x^54+4860x^55+6746x^56+5180x^57+5782x^58+3464x^59+3588x^60+1336x^61+1906x^62+628x^63+1382x^64+476x^65+1413x^66+612x^67+1261x^68+436x^69+912x^70+204x^71+507x^72+80x^73+213x^74+12x^75+152x^76+4x^77+42x^78+20x^80+9x^82+1x^84 The gray image is a code over GF(2) with n=224, k=16 and d=68. This code was found by Heurico 1.16 in 99.7 seconds.