The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^63+274x^64+736x^65+1363x^66+1868x^67+2617x^68+3262x^69+4316x^70+4180x^71+4152x^72+3174x^73+2658x^74+1650x^75+1088x^76+696x^77+324x^78+132x^79+41x^80+56x^81+35x^82+10x^83+15x^84+10x^85+8x^86+6x^87+4x^88+2x^89

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 14.9 seconds.