The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+305x^64+556x^65+1256x^66+1332x^67+1975x^68+1908x^69+2218x^70+1800x^71+1933x^72+1116x^73+950x^74+368x^75+270x^76+148x^77+130x^78+48x^79+33x^80+16x^81+14x^82+4x^83+1x^84+2x^88

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 3.54 seconds.