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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+110x^52+314x^53+409x^54+842x^55+724x^56+1356x^57+946x^58+1372x^59+676x^60+600x^61+275x^62+226x^63+115x^64+132x^65+45x^66+8x^67+22x^68+14x^69+4x^70+1x^90

The gray image is a code over GF(2) with n=464, k=13 and d=208.
This code was found by Heurico 1.16 in 1.02 seconds.