The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+132x^53+454x^54+1060x^55+1516x^56+1794x^57+2278x^58+2334x^59+2193x^60+1646x^61+1409x^62+792x^63+338x^64+182x^65+85x^66+98x^67+37x^68+18x^69+5x^70+4x^71+2x^72+4x^73+1x^74+1x^80

The gray image is a code over GF(2) with n=472, k=14 and d=212.
This code was found by Heurico 1.16 in 2.83 seconds.