The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+194x^65+647x^66+1098x^67+1704x^68+1694x^69+2129x^70+2068x^71+1940x^72+1604x^73+1418x^74+780x^75+534x^76+234x^77+130x^78+92x^79+44x^80+30x^81+14x^82+10x^83+8x^84+4x^85+4x^86+1x^88+1x^90+1x^94

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 3.63 seconds.