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

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

Homogenous weight enumerator: w(x)=1x^0+171x^50+452x^51+1013x^52+1392x^53+2276x^54+3244x^55+5168x^56+5920x^57+9302x^58+7400x^59+9322x^60+6332x^61+5332x^62+3304x^63+2144x^64+1260x^65+762x^66+308x^67+236x^68+68x^69+67x^70+12x^71+35x^72+4x^73+9x^74+1x^78+1x^92

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 61.8 seconds.