The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^61+326x^62+696x^63+1238x^64+2274x^65+3628x^66+5022x^67+6802x^68+8492x^69+8503x^70+8904x^71+6720x^72+5062x^73+3415x^74+1956x^75+1141x^76+564x^77+331x^78+180x^79+119x^80+62x^81+17x^82+6x^83+8x^84+4x^86+4x^87+2x^88+2x^89+1x^92

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.