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 0 2 2 8 1 2 0 2 12 8 1 1 12 1 1 1 12 1 1 1 2 1 1 1 2 2 2 1 2 1 1 2 1 1 2 2 2 1 1 1 0 1 2 1 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 0 8 6 0 10 4 4 6 12 2 6 12 2 6 6 2 14 6 2 2 2 2 2 4 2 2 4 10 2 4 0 8 10 10 10 12 4 14 2 6 0 4 12 14 8 14 14 6 0 14 14 8 2 12 4 12 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 12 0 4 8 12 12 4 12 4 4 4 8 4 0 8 12 4 4 8 8 0 12 12 0 4 0 4 12 12 8 0 8 12 8 0 12 0 0 8 4 8 12 8 8 0 8 12 12 8 12 4 4 0 8 12 8 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 8 12 8 12 12 4 4 8 12 0 4 12 12 4 8 4 4 0 4 12 0 8 4 0 0 8 4 8 4 0 0 4 12 12 8 0 8 4 8 0 4 12 8 12 8 0 4 8 4 4 0 12 12 0 0 12 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 8 8 12 12 8 4 12 4 0 0 0 4 0 8 0 0 12 4 8 4 4 4 8 8 8 0 4 12 12 4 0 4 8 12 8 0 12 12 8 4 12 0 0 12 0 0 8 0 12 4 0 4 4 0 8 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 12 8 4 0 4 4 4 8 0 8 0 4 12 12 8 12 4 8 8 0 12 4 0 8 4 4 8 12 0 4 0 0 8 8 8 12 4 4 0 0 8 8 8 12 12 4 8 8 4 12 8 0 8 4 8 0 generates a code of length 71 over Z16 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+108x^61+203x^62+324x^63+415x^64+690x^65+1082x^66+1504x^67+2153x^68+3258x^69+4402x^70+4594x^71+4385x^72+3382x^73+2112x^74+1476x^75+1002x^76+636x^77+357x^78+246x^79+138x^80+94x^81+93x^82+42x^83+29x^84+22x^85+6x^86+4x^87+5x^88+2x^89+2x^91+1x^98 The gray image is a code over GF(2) with n=568, k=15 and d=244. This code was found by Heurico 1.16 in 31.7 seconds.