The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+98x^62+502x^63+1152x^64+2766x^65+3503x^66+5338x^67+6736x^68+8078x^69+8777x^70+8866x^71+7033x^72+5370x^73+3173x^74+2098x^75+979x^76+566x^77+223x^78+170x^79+26x^80+18x^81+24x^82+16x^83+9x^84+10x^86+2x^87+2x^89

The gray image is a code over GF(2) with n=560, k=16 and d=248.
This code was found by Heurico 1.16 in 43.4 seconds.