The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 2 2 2 1 1 1 1 1 0 0 0 0 1 1 4 0 1 1 0 1 0 1 1 1 1 0 2 2 1 4 2 0 4 1 2 2 0 1 0 2 0 2 0 0 2 6 0 4 2 0 6 4 6 2 6 0 2 0 2 4 0 2 2 0 6 0 2 4 2 6 2 0 4 4 2 0 2 0 2 2 2 2 2 2 4 0 0 4 2 6 6 0 0 2 6 2 0 2 2 2 4 4 0 0 2 2 0 0 2 2 0 6 2 0 0 2 2 4 4 6 2 4 0 0 2 0 2 2 6 0 6 6 2 6 4 2 2 0 6 2 0 2 0 4 0 2 4 0 2 4 0 2 2 4 2 4 6 0 6 2 4 4 0 2 0 6 6 6 2 6 6 2 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 4 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 0 0 4 0 4 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 0 4 4 0 0 0 4 0 4 0 4 0 4 4 0 0 0 4 0 4 0 4 4 0 4 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 4 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 4 0 4 4 0 0 4 4 4 4 4 0 4 4 4 0 4 4 4 4 4 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 4 4 0 4 4 4 4 0 4 0 4 4 4 4 4 4 0 4 4 4 0 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 0 0 4 0 0 4 4 4 0 4 0 4 0 0 4 0 0 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+22x^57+105x^58+104x^59+212x^60+260x^61+321x^62+406x^63+489x^64+550x^65+593x^66+728x^67+681x^68+716x^69+645x^70+544x^71+479x^72+390x^73+282x^74+220x^75+126x^76+96x^77+75x^78+42x^79+45x^80+14x^81+17x^82+4x^83+13x^84+7x^86+1x^88+3x^90+1x^96 The gray image is a code over GF(2) with n=272, k=13 and d=114. This code was found by Heurico 1.16 in 75.5 seconds.