The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+248x^64+1378x^65+2474x^66+4298x^67+5311x^68+7584x^69+7475x^70+8622x^71+7382x^72+7426x^73+5209x^74+4014x^75+2058x^76+1172x^77+455x^78+282x^79+65x^80+24x^81+25x^82+16x^83+7x^84+10x^86

The gray image is a code over GF(2) with n=568, k=16 and d=256.
This code was found by Heurico 1.16 in 44 seconds.