The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+238x^53+519x^54+760x^55+1087x^56+1006x^57+1251x^58+930x^59+1020x^60+636x^61+366x^62+172x^63+59x^64+62x^65+32x^66+26x^67+8x^68+10x^69+7x^70+1x^72+1x^74

The gray image is a code over GF(2) with n=464, k=13 and d=212.
This code was found by Heurico 1.16 in 1.2 seconds.