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

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

Homogenous weight enumerator: w(x)=1x^0+254x^50+48x^51+556x^52+396x^53+1347x^54+1328x^55+2658x^56+3272x^57+4422x^58+4240x^59+4522x^60+3280x^61+2629x^62+1360x^63+1221x^64+344x^65+481x^66+64x^67+213x^68+4x^69+68x^70+43x^72+15x^74+1x^76+1x^80

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 81.2 seconds.