The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+152x^51+452x^52+1086x^53+1901x^54+3190x^55+4883x^56+7082x^57+9111x^58+9784x^59+9251x^60+7268x^61+5080x^62+2922x^63+1563x^64+1006x^65+343x^66+212x^67+131x^68+52x^69+41x^70+12x^71+7x^72+4x^74+2x^77

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.