The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^52+60x^53+374x^54+380x^55+749x^56+948x^57+842x^58+1308x^59+962x^60+980x^61+552x^62+356x^63+295x^64+60x^65+128x^66+4x^67+36x^68+18x^70+11x^72+6x^74+4x^76+1x^84

The gray image is a code over GF(2) with n=472, k=13 and d=208.
This code was found by Heurico 1.16 in 1.44 seconds.