The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^64+288x^65+667x^66+1016x^67+1323x^68+1892x^69+1964x^70+2258x^71+2027x^72+1798x^73+1136x^74+798x^75+493x^76+268x^77+181x^78+80x^79+39x^80+38x^81+16x^82+6x^83+4x^84+4x^85+3x^86+2x^87+4x^88+1x^90

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 3.9 seconds.