The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+282x^63+598x^64+1238x^65+2011x^66+2892x^67+3338x^68+4306x^69+3809x^70+4522x^71+3145x^72+2738x^73+1670x^74+968x^75+544x^76+336x^77+175x^78+96x^79+51x^80+20x^81+14x^82+8x^83+2x^84+2x^85+1x^88+1x^90

The gray image is a code over GF(2) with n=560, k=15 and d=252.
This code was found by Heurico 1.16 in 17.9 seconds.