The generator matrix

 1  0  0  1  1  1  2  1  4 10  1  1  1 10  1  1  1  8  6 10  6  1  1  1  1  1  1 12 12 10  1 12  1  8  1  1  8  1  1  1  8  1  0 10  1  1  1  1 14  1  0  1  1  0  8  1  1
 0  1  0  2  1  3  1 12  1  2  1  8 11  1 12  9  2  6  1  1  0 11  6  2  5 12 15  1  1  8  9  1 14  1 12 15  1 11 10  7  1 13  1 10  4 13  4  3  4 10  1 11 13  6  1  7 15
 0  0  1  1  3  0  5  3 15  1  1  6 10  2  9  4 10  1 11  8  1 15 11  4  6 11 13  1 12  1 15 11 14 14 14  7  2 10  3  4  2 14 13  1  5  3  6  3  1 12 10  1 14  1  4 15 11
 0  0  0  4  0  0 12  8  0 12  4 12 12  8  4  0 12  0  4  8  4  4  8  8  8 12  0  0 12  0  8  4  8 12  0  4  8  8 12  8 12  4  8  4  8 12  0  8  8 12  0  0  4 12 12  8 12
 0  0  0  0  4  8  8  0  8  0 12  8  0 12  8 12  4 12  4  0 12 12  4  0  4 12  4  4  8  8  8  0  0  4  4  4 12  8  0 12  0  4  0  4  4  8 12 12 12 12  0  8 12  4 12  0 12

generates a code of length 57 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+318x^50+692x^51+1929x^52+3552x^53+4956x^54+7180x^55+8830x^56+10188x^57+9228x^58+7976x^59+4977x^60+2840x^61+1536x^62+716x^63+356x^64+124x^65+72x^66+12x^67+30x^68+16x^70+5x^72+2x^74

The gray image is a code over GF(2) with n=456, k=16 and d=200.
This code was found by Heurico 1.16 in 55.7 seconds.