The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^52+550x^53+906x^54+1500x^55+1809x^56+2368x^57+2264x^58+2252x^59+1708x^60+1302x^61+714x^62+440x^63+172x^64+120x^65+54x^66+32x^67+33x^68+12x^69+4x^70+2x^74

The gray image is a code over GF(2) with n=464, k=14 and d=208.
This code was found by Heurico 1.16 in 2.82 seconds.