The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+250x^50+356x^51+1258x^52+1556x^53+3397x^54+4552x^55+7727x^56+8184x^57+10736x^58+8668x^59+7699x^60+4676x^61+3320x^62+1296x^63+1038x^64+368x^65+270x^66+40x^67+91x^68+39x^70+10x^72+4x^74

The gray image is a code over GF(2) with n=464, k=16 and d=200.
This code was found by Heurico 1.16 in 77 seconds.