The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^52+76x^53+348x^54+452x^55+560x^56+1048x^57+770x^58+1444x^59+829x^60+1104x^61+520x^62+396x^63+236x^64+72x^65+128x^66+12x^67+21x^68+4x^69+20x^70+8x^72+6x^74+1x^76+3x^80+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 1.5 seconds.