The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^65+260x^66+678x^67+804x^68+994x^69+946x^70+1104x^71+854x^72+932x^73+661x^74+430x^75+214x^76+106x^77+68x^78+52x^79+22x^80+16x^81+1x^82+8x^83+6x^84+1x^88+2x^92

The gray image is a code over GF(2) with n=568, k=13 and d=260.
This code was found by Heurico 1.16 in 1.13 seconds.