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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 0 2 2 0 2 4 2 2 0 0 0 1 2 1 1 2 1 1 2 4 2 1 2 0 2 1 0 2 0 0 0 0 0 0 0 2 6 2 2 6 6 2 2 2 4 6 4 4 0 4 0 4 4 6 6 4 2 2 4 6 4 0 2 6 6 6 6 2 2 2 6 2 2 0 2 2 4 4 4 6 4 6 2 0 6 2 2 2 0 0 0 2 2 0 0 0 2 0 0 0 2 6 2 0 0 4 2 2 2 6 0 0 2 0 4 0 6 4 6 6 4 6 2 2 0 6 2 4 4 2 2 6 6 6 4 6 4 6 4 6 4 0 2 0 0 2 4 4 2 2 0 4 6 2 4 2 6 2 4 2 2 0 0 0 0 2 0 2 2 6 0 2 2 0 4 4 6 6 6 2 2 0 0 4 4 6 0 2 2 6 0 4 6 2 0 0 4 2 4 2 2 0 0 0 0 4 2 0 6 2 2 6 2 6 0 2 2 4 6 2 6 6 2 2 0 2 6 6 0 0 0 0 0 0 2 2 0 6 2 4 6 6 4 2 4 2 0 2 0 2 6 4 4 4 6 6 2 0 6 4 2 4 0 4 2 4 6 2 6 0 0 4 0 0 2 6 4 6 6 6 2 0 2 4 2 4 4 6 0 0 0 2 6 0 2 0 0 0 0 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 0 4 4 0 0 4 0 0 4 4 4 4 4 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 0 4 4 0 0 4 0 4 0 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+60x^56+104x^57+197x^58+254x^59+312x^60+412x^61+637x^62+750x^63+965x^64+1156x^65+1179x^66+1368x^67+1459x^68+1566x^69+1284x^70+1120x^71+940x^72+738x^73+618x^74+370x^75+272x^76+192x^77+140x^78+98x^79+80x^80+48x^81+37x^82+8x^83+5x^84+6x^85+2x^86+2x^88+2x^89+1x^90+1x^94 The gray image is a code over GF(2) with n=272, k=14 and d=112. This code was found by Heurico 1.16 in 17.5 seconds.