The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+294x^57+493x^58+1328x^59+1724x^60+4150x^61+4296x^62+7784x^63+7838x^64+9792x^65+7788x^66+8130x^67+4526x^68+3692x^69+1459x^70+1216x^71+416x^72+358x^73+98x^74+92x^75+22x^76+14x^77+7x^78+8x^79+1x^80+4x^81+1x^82+2x^83+2x^86

The gray image is a code over GF(2) with n=520, k=16 and d=228.
This code was found by Heurico 1.16 in 53.4 seconds.