The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  1  1  2 12  1  0  1  2  1  2  0  1  0  1  1  2  2  1  8  8  1  4  1  1  2  2  2  1  1  2  1  1  1  4
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  6  8  4 10  6 12 14  2 12 10  4  2  6  4  0 14 14  8  0 10  2  4  0  6  2  6  2  4 14  2  0  8  2  2 14  0 12 14  2 10 14  2
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14  2 12 10 12 14  8  6  2  2  2 10  4 12  2  4  2  2  2  2  6  8 14  6  2 12  0 12  2  6  2 12 14 10 14  8  4  2 10  0 12  8  8
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4  4  4 12 12  8  0  0 12  0  0  8 12  8 12  4  0  8 12  8  8  8  8  0 12 12 12 12 12  0  8  0 12  0 12 12 12  0 12 12  8  8 12
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  8  4  8  0  8  0 12 12  4 12 12  8  0  0  0  8  0  4  0 12  4  8  0  0  4 12 12  4  8 12  8  8  0  0 12 12  0  4  4  0  0  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+206x^52+296x^53+676x^54+820x^55+1519x^56+1432x^57+2520x^58+1664x^59+2568x^60+1356x^61+1436x^62+772x^63+464x^64+224x^65+228x^66+72x^67+56x^68+20x^69+32x^70+15x^72+4x^74+2x^76+1x^80

The gray image is a code over GF(2) with n=472, k=14 and d=208.
This code was found by Heurico 1.16 in 4.89 seconds.