The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  4 10  1  1  1  1  6  1  4  1  1  1  4  1  1 10  1  1 10  1 12  1  1  1  0  1  1  1  6  1  1  4  2  8  1  1  1 12  1  2  0  4  1  8  8  1  1
 0  1  1  0  3  1  5  4  1  8  3  1  1 10 15  2 13  1 11  1  2 14 14  1  7  5  1 10 14  1 15  1  1  6  6  1  3  5  0  1 11  3  1 14  1 13 14 12  4  6  0  2  1  7  2  2 15  0
 0  0  2  0  0  0  2 10  6  2  8 14  0  8  2 10  4 12 14 14  6  4  6 10  0 14 10  4 10  6  4  8  6  0  8 12  6  0  0  4  8 12 10 10  6  4  2  4  2 14  6 12 10  2 14  0  8  2
 0  0  0  2  0  2  2  8 14 14  6  4  6 14 10  6  2 12  8 10  4  0  2  0  4  6 12  2  8  6 10  6 12 12  8  0  6  8 14 12  6  4 14  0 14  4 14 10  0  8 10 14 12  2  4  2 12 10
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  0  0  8  0  0  0  8  0  8  0  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0  8  0  0  0

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+133x^50+456x^51+1196x^52+1808x^53+3355x^54+4940x^55+7392x^56+8668x^57+9786x^58+8692x^59+7325x^60+5060x^61+3330x^62+1588x^63+958x^64+452x^65+235x^66+68x^67+47x^68+12x^69+23x^70+9x^72+2x^74

The gray image is a code over GF(2) with n=464, k=16 and d=200.
This code was found by Heurico 1.16 in 41.7 seconds.