The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^63+549x^64+1186x^65+2523x^66+3574x^67+5491x^68+6824x^69+8312x^70+8408x^71+8541x^72+7120x^73+5551x^74+3290x^75+2068x^76+958x^77+595x^78+234x^79+104x^80+34x^81+38x^82+14x^83+13x^84+6x^85+5x^86+2x^87+1x^88+6x^91

The gray image is a code over GF(2) with n=568, k=16 and d=252.
This code was found by Heurico 1.16 in 44.4 seconds.