The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^64+376x^65+514x^66+818x^67+999x^68+1030x^69+995x^70+872x^71+860x^72+756x^73+418x^74+274x^75+97x^76+52x^77+29x^78+16x^79+6x^80+24x^81+3x^82+4x^83+2x^84+2x^85+1x^90+1x^96

The gray image is a code over GF(2) with n=560, k=13 and d=256.
This code was found by Heurico 1.16 in 1.1 seconds.