The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+77x^50+292x^51+437x^52+1026x^53+2005x^54+3078x^55+5131x^56+6846x^57+9136x^58+9166x^59+9402x^60+7078x^61+5350x^62+3028x^63+1715x^64+934x^65+361x^66+216x^67+119x^68+48x^69+21x^70+22x^71+25x^72+4x^73+10x^74+6x^75+2x^76

The gray image is a code over GF(2) with n=472, k=16 and d=200.
This code was found by Heurico 1.16 in 44.1 seconds.