The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+205x^52+416x^53+1218x^54+1696x^55+2783x^56+3456x^57+4274x^58+4808x^59+4449x^60+3496x^61+2598x^62+1488x^63+1014x^64+432x^65+230x^66+72x^67+76x^68+8x^69+24x^70+14x^72+8x^74+2x^76

The gray image is a code over GF(2) with n=472, k=15 and d=208.
This code was found by Heurico 1.16 in 11.8 seconds.