The generator matrix 1 0 0 1 1 1 2 1 1 6 1 1 2 6 2 0 1 1 1 1 6 6 1 1 1 4 0 4 1 6 6 1 1 0 1 1 1 0 1 1 1 4 1 1 1 6 1 1 0 6 1 1 1 1 0 1 2 2 1 6 1 6 1 6 1 4 4 0 0 1 0 2 1 3 1 4 2 0 1 7 6 1 1 1 6 7 4 1 1 1 2 4 3 1 6 1 7 1 4 3 5 1 7 2 4 1 6 7 0 1 7 7 2 1 4 6 2 1 6 6 1 3 1 2 0 0 0 1 1 1 7 4 3 1 2 1 0 0 1 1 3 6 1 2 7 1 1 4 1 3 2 3 0 1 3 0 0 2 2 1 7 1 1 6 2 3 1 2 1 5 5 2 5 6 6 1 4 2 3 0 1 4 2 3 1 5 1 2 5 1 2 5 1 1 1 4 5 7 7 1 1 3 1 0 0 0 0 4 0 0 0 4 0 4 0 0 0 4 4 4 4 0 0 4 4 0 4 0 4 0 4 4 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 0 4 0 0 0 4 0 0 0 0 0 4 4 4 0 4 0 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 4 4 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 0 4 4 0 4 4 4 4 4 4 0 0 0 4 0 0 4 0 0 4 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 0 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 4 4 0 4 0 0 4 4 0 0 4 4 0 4 4 4 0 4 0 4 4 4 0 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+64x^60+208x^61+329x^62+600x^63+539x^64+766x^65+634x^66+808x^67+621x^68+810x^69+528x^70+660x^71+450x^72+428x^73+256x^74+208x^75+88x^76+86x^77+33x^78+28x^79+26x^80+4x^81+6x^82+3x^84+6x^86+2x^89 The gray image is a code over GF(2) with n=272, k=13 and d=120. This code was found by Heurico 1.16 in 2.45 seconds.