The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+168x^51+519x^52+860x^53+1762x^54+3430x^55+4501x^56+7710x^57+8609x^58+10608x^59+8598x^60+7718x^61+4641x^62+3228x^63+1525x^64+818x^65+374x^66+216x^67+139x^68+38x^69+36x^70+14x^71+13x^72+8x^73+1x^74+1x^78

The gray image is a code over GF(2) with n=472, k=16 and d=204.
This code was found by Heurico 1.16 in 42.9 seconds.