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

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

Homogenous weight enumerator: w(x)=1x^0+54x^50+84x^51+185x^52+318x^53+488x^54+762x^55+1164x^56+1708x^57+2269x^58+2518x^59+2178x^60+1726x^61+1209x^62+632x^63+360x^64+314x^65+164x^66+84x^67+62x^68+28x^69+33x^70+14x^71+15x^72+2x^73+4x^74+2x^75+3x^76+2x^78+1x^82

The gray image is a code over GF(2) with n=472, k=14 and d=200.
This code was found by Heurico 1.16 in 5.25 seconds.