The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+104x^56+630x^57+2157x^58+4592x^59+8927x^60+13248x^61+21238x^62+27368x^63+34721x^64+35152x^65+35852x^66+27844x^67+21565x^68+13180x^69+8367x^70+4076x^71+1780x^72+758x^73+369x^74+94x^75+66x^76+20x^77+17x^78+8x^79+4x^80+4x^81+2x^83

The gray image is a code over GF(2) with n=520, k=18 and d=224.
This code was found by Heurico 1.16 in 567 seconds.