The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  4  2  8  8  2  1  1  1  1 12  1  1  1  1  1  2  2  0  1  1  0  2  1  2  1  0  0  1  2  1  1  1  2  1
 0  2  0  2  0  0 14  6  4  2  4 14 12  6 12  2  0  6  8  2  4 10 14  2  0 12 12  2  0  8  2  2  0 10  8  6  2  2  4 12 10  2 10 10  2  8 14 12 14 10  8  2  2  2 12  4  4 10 10  2  8
 0  0  2  2 12  6 14  0  4  6  2 12  0  2 14  4  8  4  2 10  4 12 12 12  4 14  2  4 14  2  6  6  4  2  6  4  4  4  8 12 10  8 14 12 14 10 14  2  8 14 10  2  6  2  4 10  4  2 12  2  0
 0  0  0  4  0  0 12  8  8 12  0  0  8  4  0  8  0  0  0  4  8  8  8  0  0  0  0  0 12 12  4 12 12  8 12 12 12  4  4  4  8  4  0 12  8  4  0 12  4  8  4  0  8 12  4  8  0 12 12  0 12
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  8  0  8  8  8  8  0  8  0  0  8  8  8  0  0  0  8  0  8  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  0  8  8  0  0  8  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  8  8  0  8  8  8  8  0  8  8  0  0  0  8  0  0  0  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  0  0  0  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+68x^52+290x^53+317x^54+706x^55+1037x^56+1528x^57+2609x^58+3036x^59+4659x^60+4166x^61+4753x^62+3238x^63+2699x^64+1488x^65+835x^66+626x^67+268x^68+182x^69+104x^70+64x^71+31x^72+24x^73+19x^74+10x^75+5x^76+2x^77+1x^78+1x^82+1x^86

The gray image is a code over GF(2) with n=488, k=15 and d=208.
This code was found by Heurico 1.16 in 18.2 seconds.