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

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

Homogenous weight enumerator: w(x)=1x^0+115x^50+414x^51+892x^52+1236x^53+1950x^54+2768x^55+4222x^56+6900x^57+9354x^58+9876x^59+9523x^60+6674x^61+4490x^62+2734x^63+1819x^64+1112x^65+672x^66+430x^67+199x^68+86x^69+26x^70+16x^71+16x^72+8x^73+2x^79+1x^90

The gray image is a code over GF(2) with n=472, k=16 and d=200.
This code was found by Heurico 1.16 in 59.9 seconds.