The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^63+452x^64+1232x^65+2324x^66+4104x^67+4903x^68+7240x^69+7782x^70+9342x^71+7689x^72+7692x^73+5096x^74+3600x^75+1766x^76+1188x^77+516x^78+212x^79+138x^80+52x^81+23x^82+8x^83+22x^84+4x^85+1x^86+6x^87+4x^88+1x^90+1x^92+1x^94

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 53 seconds.