The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^61+419x^62+682x^63+1454x^64+2254x^65+3778x^66+4858x^67+6766x^68+7896x^69+8933x^70+8112x^71+7052x^72+4908x^73+3628x^74+2042x^75+1214x^76+632x^77+361x^78+164x^79+141x^80+46x^81+26x^82+12x^83+12x^84+4x^85+7x^86+2x^87

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 80.6 seconds.