The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+60x^64+612x^65+1324x^66+1538x^67+2017x^68+2028x^69+2069x^70+1798x^71+1656x^72+1256x^73+881x^74+482x^75+340x^76+156x^77+71x^78+50x^79+19x^80+12x^81+7x^82+4x^83+3x^84

The gray image is a code over GF(2) with n=560, k=14 and d=256.
This code was found by Heurico 1.16 in 2.83 seconds.