The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+734x^52+2078x^53+3810x^54+5728x^55+7192x^56+9022x^57+8924x^58+8862x^59+7288x^60+5506x^61+3358x^62+1724x^63+783x^64+330x^65+144x^66+22x^67+18x^68+8x^69+4x^70

The gray image is a code over GF(2) with n=464, k=16 and d=208.
This code was found by Heurico 1.16 in 35.3 seconds.