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

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

Homogenous weight enumerator: w(x)=1x^0+224x^52+80x^53+612x^54+408x^55+1264x^56+1420x^57+2772x^58+3232x^59+4395x^60+4076x^61+4360x^62+3232x^63+2941x^64+1380x^65+1006x^66+416x^67+486x^68+84x^69+238x^70+8x^71+80x^72+30x^74+15x^76+6x^78+2x^80

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 53.3 seconds.