The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^62+462x^63+1144x^64+2344x^65+3827x^66+5200x^67+7444x^68+7796x^69+9462x^70+7654x^71+7423x^72+5058x^73+3617x^74+1984x^75+992x^76+580x^77+220x^78+98x^79+44x^80+42x^81+26x^82+8x^83+6x^84+4x^85+2x^87+2x^88

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 43.6 seconds.