The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+88x^61+304x^62+732x^63+1195x^64+2424x^65+3083x^66+5912x^67+5948x^68+9174x^69+7642x^70+9592x^71+6135x^72+5836x^73+2942x^74+2262x^75+994x^76+664x^77+268x^78+104x^79+108x^80+44x^81+31x^82+16x^83+18x^84+10x^85+2x^86+4x^87+1x^88+2x^91

The gray image is a code over GF(2) with n=560, k=16 and d=244.
This code was found by Heurico 1.16 in 55.5 seconds.