The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+64x^63+335x^64+592x^65+1103x^66+1726x^67+2859x^68+3172x^69+4846x^70+3902x^71+4542x^72+3182x^73+2820x^74+1512x^75+998x^76+486x^77+284x^78+130x^79+75x^80+46x^81+33x^82+24x^83+19x^84+6x^85+2x^86+2x^88+4x^89+2x^91+1x^96

The gray image is a code over GF(2) with n=568, k=15 and d=252.
This code was found by Heurico 1.16 in 15 seconds.