The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+268x^63+1272x^64+2610x^65+5012x^66+7398x^67+10899x^68+13092x^69+16680x^70+17100x^71+16351x^72+13426x^73+11149x^74+6928x^75+4402x^76+2288x^77+1298x^78+554x^79+218x^80+68x^81+31x^82+6x^83+9x^84+4x^86+2x^87+4x^89+2x^90

The gray image is a code over GF(2) with n=568, k=17 and d=252.
This code was found by Heurico 1.16 in 182 seconds.