The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+428x^51+1864x^52+3980x^53+6955x^54+10172x^55+14947x^56+17376x^57+19509x^58+17608x^59+15275x^60+10440x^61+6665x^62+3238x^63+1568x^64+608x^65+277x^66+132x^67+9x^68+12x^69+4x^71+2x^74+2x^79

The gray image is a code over GF(2) with n=464, k=17 and d=204.
This code was found by Heurico 1.16 in 139 seconds.