The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^63+575x^64+1208x^65+2534x^66+3564x^67+5415x^68+6782x^69+8495x^70+8810x^71+8242x^72+6786x^73+5734x^74+3100x^75+2008x^76+1202x^77+618x^78+186x^79+120x^80+48x^81+24x^82+12x^83+21x^84+4x^85+3x^86+2x^88+2x^89

The gray image is a code over GF(2) with n=568, k=16 and d=252.
This code was found by Heurico 1.16 in 43.2 seconds.