The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+613x^64+1160x^65+2268x^66+2840x^67+3737x^68+3808x^69+4408x^70+3920x^71+3647x^72+2396x^73+2050x^74+880x^75+449x^76+304x^77+156x^78+40x^79+57x^80+12x^81+14x^82+6x^84+2x^88

The gray image is a code over GF(2) with n=560, k=15 and d=256.
This code was found by Heurico 1.16 in 75.5 seconds.