The generator matrix

 1  0  1  1  1  4  1  1  0  1  1  6 12  1  1  2  1  1  1  1 10 10  1  1 10  1  1  1 12  1 10  6  1  1  1  1  1  1  1  2  1  4  1  1 14  1  8  1  1  6  1  1 14  0  1  2  1  1  1 14  8  1  1  1  2  2  1  1  1  1  1
 0  1  1  0 11  1  1  0  1 10  5  1  1 11  2  1  4  3 14 13  1  1  7 10  1  6 12 13  1 15  1  1  5 14  2  1  4  4 15  1 10  1 15  5  1  9  1 10  7  1 15  4  1  8  3  8  6  1 14  1  4  9  3  4  2  6  4  5 14  2  0
 0  0  2  0  0  8 10  2  2  2  8  2  6 12  0 14 14 10 10  8  4  8 14 12  2 14  6  6  4  4  0  2 12  8  0  2  0  6 14  0 14  6  6  4  2  6 10  2 12 14  6 12  8  2  2 14 12  4  6  4  0 12  4 12  6 12  6  8 12 10  0
 0  0  0  2  0 10 14 14  6  8 10  0  0 14  6  2 12 14 14 12  8 10  8  0 12 12 14  6 14  0  0 14  6  2  4  4  2  0  4 14  6 10 10  4 14  2  2  2  2  8 10  0  8  0  4 12 10 12 12 10  2 14 14  8  4  2  0  4 12 10  0
 0  0  0  0 12  0  0 12 12  4  4  4  0  8  4  0  0  4  8  8  4 12  4  4  0  0  0  8  8  8  0 12 12  8  0  4  8  4  8  8  0  4 12  8  8 12  8  4 12  0  0  0 12  8 12  4  4  4  4 12  4  4  0  8 12  8  8  4  4  4  0

generates a code of length 71 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+94x^62+364x^63+706x^64+1392x^65+2329x^66+3566x^67+4818x^68+6974x^69+7897x^70+8984x^71+8141x^72+7576x^73+4808x^74+3346x^75+2093x^76+1084x^77+595x^78+354x^79+188x^80+120x^81+33x^82+24x^83+17x^84+6x^85+17x^86+2x^87+4x^88+2x^90+1x^94

The gray image is a code over GF(2) with n=568, k=16 and d=248.
This code was found by Heurico 1.16 in 53.6 seconds.