The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+135x^64+184x^65+608x^66+888x^67+1523x^68+1852x^69+2204x^70+1804x^71+2115x^72+1904x^73+1394x^74+880x^75+521x^76+156x^77+98x^78+12x^79+42x^80+28x^82+10x^84+14x^86+2x^88+6x^90+2x^92+1x^96

The gray image is a code over GF(2) with n=568, k=14 and d=256.
This code was found by Heurico 1.16 in 4.49 seconds.