The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  2  0  2  4  2  1  1  2  2  0  2  2  2  4  8  2  2  0  2  1  0  8  8  1  1  1  1 12  2 12  2  1  1  1  1  1  1  1  2  1
 0  2  0  0  0  2  6 14  4 12  6 12 10 12 14 10  0  4 12  0 10 10 10 10 14 10  8  2  8 12  6  0  6  4  2 12 12 14  2  0  0 14 12  2 12  4  2  2  2 12  4 10  8  8  2  2  4 14 14  6  2 14  8  2  0  4  2  0  4 12  6 12  0
 0  0  2  0  2  2  2  0  8 10  4  0 14  2  2  8 14  8  6  0 12  4  6  2 14  4 10  0  4 14 10  4  4 10 10  0  0  0  4  4  6  6  2  2 10  4 14  8  8 14  2 10  0  2  4  0 10  6  4 14  4  4  2 14  0  2 12 12 12  8  4  6  8
 0  0  0  2  2  0  2  2  2 10 12  8 12  4 14  2  4 14 14 12 10  4  8  2 12  0  6  2 14  4  4  4 14  4 12 10  2 12  0 10  0 10 10  0  6 14  6 12  0  8 12  4  0  8 10  6  4 10  2 14  8  6  2  6 14 10 12  0 14 10  0  6  4
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  8  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  0  8  8  0  8  0  8  8  0  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  0  8  0  0  0  8  8  8  0  0  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+88x^63+320x^64+738x^65+1111x^66+1706x^67+2538x^68+3556x^69+5133x^70+6054x^71+7611x^72+7534x^73+8048x^74+6136x^75+5321x^76+3526x^77+2388x^78+1516x^79+882x^80+592x^81+324x^82+230x^83+81x^84+54x^85+18x^86+14x^87+13x^88+1x^90+1x^94+1x^104

The gray image is a code over GF(2) with n=584, k=16 and d=252.
This code was found by Heurico 1.16 in 81.4 seconds.