The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+132x^64+540x^65+1264x^66+2324x^67+3850x^68+5628x^69+6436x^70+8372x^71+8360x^72+8620x^73+6872x^74+5532x^75+3484x^76+2084x^77+980x^78+604x^79+227x^80+88x^81+76x^82+30x^84+18x^86+12x^88+2x^94

The gray image is a code over GF(2) with n=576, k=16 and d=256.
This code was found by Heurico 1.16 in 45.2 seconds.