The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^52+40x^53+259x^54+204x^55+544x^56+832x^57+1228x^58+1832x^59+2044x^60+2432x^61+2013x^62+1808x^63+1176x^64+736x^65+478x^66+248x^67+196x^68+56x^69+83x^70+4x^71+36x^72+30x^74+6x^76+5x^78+3x^80+2x^84

The gray image is a code over GF(2) with n=488, k=14 and d=208.
This code was found by Heurico 1.16 in 5.62 seconds.