The generator matrix 1 0 1 1 1 0 1 1 0 1 1 6 1 1 4 1 1 1 4 1 0 1 4 6 1 0 1 1 1 0 1 2 1 2 0 0 1 0 4 2 1 6 1 1 4 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 6 5 1 0 3 1 1 4 6 2 7 1 1 1 1 1 1 6 2 1 1 1 2 3 2 1 1 6 1 1 2 0 1 7 2 0 4 0 0 0 0 0 0 0 0 0 0 2 0 0 6 6 0 0 2 2 2 0 0 6 4 4 4 2 6 4 4 4 2 6 2 2 6 2 6 4 4 6 4 0 4 0 6 2 6 6 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 2 6 0 2 0 2 0 4 2 0 4 6 0 6 0 4 0 6 6 0 6 2 2 0 6 4 4 6 0 0 4 4 6 4 4 0 4 2 4 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 0 2 0 2 2 4 4 0 2 0 6 4 6 2 6 6 2 0 2 2 0 4 4 2 6 2 0 0 0 2 6 4 0 4 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 0 0 4 0 4 0 4 4 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 4 4 0 4 4 0 4 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 4 4 0 4 0 4 0 0 4 0 0 4 0 0 4 4 0 4 0 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 0 0 0 4 4 4 0 0 4 4 4 4 0 4 0 4 4 4 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 0 0 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+22x^34+52x^35+78x^36+118x^37+159x^38+190x^39+307x^40+478x^41+669x^42+830x^43+939x^44+1066x^45+1238x^46+1338x^47+1945x^48+2286x^49+2931x^50+4136x^51+4896x^52+5960x^53+6130x^54+5920x^55+5208x^56+3974x^57+3217x^58+2224x^59+1577x^60+1422x^61+1243x^62+1140x^63+981x^64+826x^65+623x^66+452x^67+380x^68+214x^69+113x^70+82x^71+61x^72+36x^73+34x^74+18x^75+10x^76+4x^77+5x^78+2x^79+1x^80 The gray image is a code over GF(2) with n=216, k=16 and d=68. This code was found by Heurico 1.16 in 98.5 seconds.