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 2 1 1 2 1 2 1 2 2 1 4 2 1 1 1 1 1 0 2 2 2 1 2 1 2 1 1 1 2 2 1 2 4 1 4 8 1 2 4 1 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 4 0 0 12 4 8 0 12 12 0 12 8 4 4 8 4 8 4 0 12 12 0 12 12 12 4 4 12 4 4 4 12 8 0 12 4 0 0 4 8 12 0 8 8 4 8 0 4 12 4 12 12 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 12 4 0 0 0 0 4 12 4 8 12 8 4 4 12 0 4 0 12 12 8 0 0 8 0 8 8 4 12 4 0 4 4 4 4 8 8 12 4 8 8 8 12 8 4 4 12 12 12 4 8 8 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 0 8 0 0 8 8 0 0 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 0 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 8 8 0 0 8 0 0 8 8 8 0 8 8 0 0 0 8 8 8 0 0 8 0 8 8 0 8 0 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 8 0 8 0 8 8 0 0 8 0 8 0 8 8 8 8 0 8 0 8 0 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 8 8 8 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 8 0 8 8 0 8 0 0 8 8 0 0 0 8 0 0 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+40x^57+80x^58+132x^59+184x^60+282x^61+266x^62+390x^63+646x^64+1004x^65+1622x^66+2252x^67+2606x^68+2238x^69+1787x^70+1036x^71+494x^72+416x^73+248x^74+220x^75+117x^76+102x^77+65x^78+62x^79+23x^80+12x^81+18x^82+4x^83+20x^84+2x^85+9x^86+4x^88+1x^92+1x^94 The gray image is a code over GF(2) with n=544, k=14 and d=228. This code was found by Heurico 1.16 in 92.3 seconds.