The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^61+266x^62+578x^63+1400x^64+1914x^65+3753x^66+5076x^67+7172x^68+8288x^69+8757x^70+8358x^71+7237x^72+4952x^73+3551x^74+1816x^75+1184x^76+484x^77+325x^78+156x^79+115x^80+32x^81+20x^82+16x^83+4x^84+4x^85+7x^88+2x^89

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 52.7 seconds.