The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+55x^52+186x^53+575x^54+978x^55+1971x^56+3474x^57+4692x^58+6870x^59+9054x^60+9672x^61+9074x^62+7382x^63+5058x^64+2966x^65+1633x^66+900x^67+452x^68+260x^69+144x^70+54x^71+46x^72+16x^73+7x^74+6x^75+3x^76+2x^77+3x^78+2x^79

The gray image is a code over GF(2) with n=488, k=16 and d=208.
This code was found by Heurico 1.16 in 46.3 seconds.