The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^65+337x^66+424x^67+919x^68+648x^69+1322x^70+776x^71+1301x^72+638x^73+899x^74+378x^75+320x^76+70x^77+9x^78+14x^79+8x^81+8x^82+6x^83+2x^85+1x^86+2x^87+4x^89+1x^92+2x^96

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 1.44 seconds.