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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+72x^50+166x^51+476x^52+590x^53+1211x^54+1258x^55+2750x^56+2862x^57+4666x^58+4574x^59+4787x^60+2960x^61+2853x^62+1256x^63+1070x^64+448x^65+381x^66+150x^67+117x^68+50x^69+28x^70+14x^71+15x^72+2x^73+3x^74+6x^75+2x^82

The gray image is a code over GF(2) with n=472, k=15 and d=200.
This code was found by Heurico 1.16 in 17.6 seconds.