The generator matrix 1 0 0 1 1 1 6 1 1 0 1 1 2 4 1 1 1 1 0 2 1 1 4 2 1 1 1 0 4 1 0 1 2 2 6 4 1 1 1 1 0 2 1 1 4 1 1 0 1 0 2 1 1 1 1 1 1 0 1 0 1 6 3 1 0 1 1 2 3 1 2 2 0 3 1 1 2 4 5 2 1 6 5 7 1 2 4 1 6 1 1 1 6 6 2 7 6 0 1 6 5 1 2 5 2 4 1 1 7 3 0 0 0 0 0 0 1 1 3 6 3 6 3 6 1 0 1 1 2 3 3 2 3 1 1 0 1 2 3 3 4 3 1 2 5 5 7 2 0 1 0 3 5 2 1 2 7 0 7 7 3 1 7 5 4 1 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 0 4 0 0 0 0 0 4 4 4 0 4 4 0 0 4 4 4 4 4 0 4 4 4 4 0 0 4 0 0 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 4 0 0 0 0 4 0 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 4 0 0 4 0 0 0 4 4 0 4 0 4 4 4 4 0 0 0 4 4 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 4 4 0 4 0 4 4 4 0 4 4 4 0 0 0 0 0 0 4 0 0 4 0 0 4 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 4 0 0 0 4 0 4 4 4 4 4 4 4 4 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 0 0 4 4 0 4 0 0 4 0 4 0 0 0 0 0 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 4 0 4 4 4 4 0 4 4 4 4 4 0 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 0 generates a code of length 57 over Z8 who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+6x^41+20x^42+36x^43+77x^44+112x^45+178x^46+364x^47+455x^48+1180x^49+1222x^50+2438x^51+2495x^52+4296x^53+4261x^54+6380x^55+5648x^56+7166x^57+5580x^58+6424x^59+4325x^60+4456x^61+2539x^62+2348x^63+1147x^64+1096x^65+440x^66+398x^67+149x^68+112x^69+75x^70+44x^71+28x^72+8x^73+16x^74+10x^76+3x^78+1x^80+2x^82 The gray image is a code over GF(2) with n=228, k=16 and d=82. This code was found by Heurico 1.16 in 100 seconds.