The generator matrix 1 0 0 1 1 1 6 4 1 1 1 1 6 4 1 1 2 4 1 4 1 1 2 6 1 2 1 1 1 1 1 1 1 4 6 2 1 1 1 1 1 1 1 6 4 2 1 1 4 1 0 0 1 4 0 1 1 1 1 1 1 1 2 0 0 6 1 0 0 1 0 0 1 1 1 1 6 3 2 5 2 1 2 7 1 1 6 2 1 3 4 1 4 1 1 3 0 0 7 4 3 0 1 2 6 0 5 5 2 6 7 1 2 1 3 5 1 3 1 6 2 2 1 1 0 1 2 4 5 3 0 4 1 6 1 1 0 0 1 3 3 0 3 7 3 0 4 5 1 2 6 5 6 5 5 1 2 7 1 5 5 4 7 6 2 4 2 3 7 1 1 1 6 1 0 6 7 5 1 0 1 6 4 0 6 0 1 1 7 1 0 5 3 7 1 3 3 5 1 1 4 1 3 0 0 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 0 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 4 0 4 4 0 0 0 0 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 4 4 0 4 0 0 0 0 0 0 4 4 0 4 0 4 4 4 4 0 0 0 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 4 4 0 4 0 4 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+246x^62+124x^63+530x^64+256x^65+675x^66+196x^67+525x^68+160x^69+398x^70+116x^71+301x^72+80x^73+201x^74+76x^75+118x^76+16x^77+43x^78+27x^80+4x^82+1x^84+1x^86+1x^88 The gray image is a code over GF(2) with n=272, k=12 and d=124. This code was found by Heurico 1.16 in 1.77 seconds.