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 2 0 1 2 0 1 1 1 1 2 0 1 1 2 0 1 1 2 0 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 1 4 1 2 1 1 2 0 2 0 6 0 6 0 6 0 6 4 6 0 6 0 4 6 2 0 0 6 2 4 6 6 2 0 6 2 6 2 0 4 6 2 6 6 6 2 0 6 6 2 6 2 6 0 4 4 4 6 2 0 6 6 4 6 4 0 0 6 6 0 2 2 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 0 0 0 4 4 4 4 0 0 4 0 0 0 4 0 4 0 4 4 0 0 0 0 4 4 0 0 0 4 4 0 4 4 0 0 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 4 0 0 0 0 0 4 4 4 0 0 4 4 4 0 0 0 4 4 0 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 4 0 4 0 0 4 4 0 4 4 4 0 0 4 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 4 0 0 4 0 4 0 4 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 0 4 0 4 0 4 0 4 4 4 0 0 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 4 4 0 4 0 4 0 0 4 0 4 0 0 0 4 4 0 4 4 0 0 4 4 0 4 0 4 4 0 0 0 4 0 4 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 4 0 4 4 0 4 0 4 4 0 0 4 0 0 4 0 0 0 4 4 4 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 0 0 0 4 0 4 4 4 4 0 4 0 0 0 4 4 0 4 0 4 0 4 0 4 4 0 4 0 0 4 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 4 0 0 4 4 0 4 0 4 4 0 4 4 0 4 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+58x^56+52x^57+102x^58+86x^59+143x^60+184x^61+320x^62+188x^63+630x^64+238x^65+1116x^66+276x^67+1435x^68+280x^69+1168x^70+256x^71+607x^72+168x^73+256x^74+166x^75+128x^76+96x^77+72x^78+52x^79+45x^80+6x^81+28x^82+20x^84+8x^86+3x^88+2x^90+1x^92+1x^100 The gray image is a code over GF(2) with n=272, k=13 and d=112. This code was found by Heurico 1.16 in 5.44 seconds.