The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  0  1  2  1  1  8  1  1  1  1  2  1  8 10  1  1  4  1  1  8  1  1  2  1  1  6  2  1  1  1  1  1 12  1  1 10  1 12  1  1 14 12  1  1  1  1
 0  1 11  6  1  1  8  3  1  1 14  9  6  1  3  1 13  0  1  4  5 10  3  1  5  1  1  2  1  1  0 14  1 13 11  1  3  7  1  1  1  4  7  1 15  1  7  2  1  5  2 12  6  1  2  2 13  9  0
 0  0 12  0  0  0  0  8 12  4  4  4 12 12  0  4  8 12  8  4  4  0 12  0  0  8 12  8  8 12  0  8 12 12  0 12  0  8  4  8  0 12 12 12  8 12 12  8  8  8  0  0  8  4  4 12  4 12  0
 0  0  0 12  0  0  8  8  8  8  0  8  8 12 12 12 12  4 12 12 12  4 12  8  4  4 12  4 12 12  4  0  0  8  0  0  0  8  8  0  8  4  8 12  4  0  0  8 12  0  0 12 12 12  0 12  4  4  8
 0  0  0  0  4 12 12  8  4  0  0  4  4  8 12  4  0  8  4 12  8  4 12  4 12  0  8  8  8  4  4  4  0  8 12  8  8 12 12  0  8 12  0 12  4  4  4  4  8  8  4  4  4  0  0 12  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+49x^52+162x^53+496x^54+884x^55+1253x^56+1906x^57+2355x^58+2440x^59+2260x^60+1818x^61+1289x^62+762x^63+369x^64+138x^65+71x^66+40x^67+29x^68+20x^69+8x^70+14x^71+6x^72+4x^73+4x^74+4x^75+1x^78+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 3.35 seconds.