The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+82x^65+566x^66+1142x^67+1674x^68+1998x^69+2114x^70+2262x^71+1834x^72+1460x^73+1202x^74+822x^75+595x^76+324x^77+140x^78+74x^79+51x^80+20x^81+9x^82+4x^83+5x^84+2x^85+2x^89+1x^90

The gray image is a code over GF(2) with n=568, k=14 and d=260.
This code was found by Heurico 1.16 in 2.89 seconds.