The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 12 1 1 2 0 1 12 2 1 1 1 1 1 1 2 0 1 2 1 1 12 1 2 1 0 2 2 1 1 1 1 12 0 1 1 1 2 1 1 1 4 1 1 1 4 1 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 10 10 0 6 12 6 2 0 10 2 12 6 6 2 10 2 10 10 6 0 12 0 10 6 2 0 10 10 8 2 6 6 10 2 10 6 0 0 12 14 2 2 10 12 2 10 2 8 6 12 4 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 8 0 8 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 8 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 8 8 0 0 0 8 8 0 8 0 0 0 0 8 8 8 0 8 0 0 8 8 8 0 8 8 8 8 8 8 8 8 0 0 0 8 0 0 0 8 0 0 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 8 0 0 0 0 8 0 8 0 8 8 8 8 0 0 8 0 0 0 8 8 0 8 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 0 0 8 8 8 0 0 0 0 8 8 0 0 8 8 0 8 0 8 0 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 0 8 8 0 8 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 8 0 8 8 8 0 8 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 0 0 8 0 8 8 8 8 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 8 8 0 8 8 8 8 0 8 0 8 8 8 8 0 8 generates a code of length 71 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+26x^58+130x^60+24x^61+295x^62+100x^63+507x^64+500x^65+1017x^66+1808x^67+2134x^68+4032x^69+3145x^70+5432x^71+3025x^72+4184x^73+2084x^74+1744x^75+1088x^76+456x^77+456x^78+132x^79+206x^80+20x^81+113x^82+51x^84+21x^86+21x^88+8x^90+4x^92+3x^94+1x^100 The gray image is a code over GF(2) with n=568, k=15 and d=232. This code was found by Heurico 1.16 in 25.1 seconds.