The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^65+469x^66+1272x^67+1563x^68+2172x^69+2090x^70+2220x^71+1601x^72+1576x^73+1061x^74+954x^75+572x^76+396x^77+137x^78+76x^79+37x^80+18x^81+14x^82+6x^83+1x^84+4x^85+5x^86+1x^88

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 2.93 seconds.