The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^64+590x^65+1136x^66+1602x^67+2098x^68+2200x^69+2039x^70+1780x^71+1626x^72+1284x^73+824x^74+514x^75+322x^76+154x^77+60x^78+40x^79+17x^80+26x^81+4x^82+2x^85+1x^86

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 3.19 seconds.