The generator matrix 1 0 1 1 1 0 1 1 2 1 1 6 1 4 1 2 1 1 1 1 1 0 1 6 1 1 0 6 1 0 1 1 1 1 4 6 1 1 1 1 1 1 2 1 1 6 1 1 1 1 1 1 2 0 1 4 0 1 1 4 1 4 1 1 0 1 0 2 0 1 1 0 3 1 2 3 1 6 5 1 3 1 4 1 0 5 6 7 6 1 7 1 2 1 1 1 5 1 0 1 4 2 1 1 4 1 0 4 7 3 1 2 1 1 0 7 1 7 7 0 6 1 3 1 0 0 5 1 4 4 4 1 1 7 2 6 0 0 2 6 0 6 2 6 2 0 4 4 4 2 2 6 0 0 2 6 0 4 6 0 0 6 0 4 4 0 0 6 6 2 2 0 6 6 4 2 6 4 6 6 2 6 4 4 2 0 2 4 2 0 4 0 2 6 0 0 6 2 4 0 0 2 6 4 0 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 0 4 4 4 4 0 4 4 0 4 4 4 4 0 4 0 4 4 4 0 4 0 0 0 4 4 0 0 4 4 4 4 0 4 4 4 4 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 4 4 0 4 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 4 4 0 4 4 4 4 0 4 4 0 0 4 0 4 4 4 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 4 4 4 0 4 4 0 4 4 4 4 0 0 4 4 4 0 0 4 4 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 0 0 0 4 4 0 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 4 4 0 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 0 0 0 0 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 4 0 4 0 4 0 4 4 4 0 4 4 4 0 0 0 4 4 4 0 0 0 0 4 0 0 4 0 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+171x^56+8x^57+328x^58+100x^59+915x^60+452x^61+1340x^62+968x^63+2364x^64+1984x^65+3216x^66+2616x^67+3888x^68+2648x^69+3192x^70+1984x^71+2406x^72+984x^73+1320x^74+452x^75+778x^76+68x^77+300x^78+24x^79+170x^80+32x^82+48x^84+7x^88+3x^92+1x^96 The gray image is a code over GF(2) with n=272, k=15 and d=112. This code was found by Heurico 1.16 in 48.5 seconds.