The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+187x^50+836x^51+1858x^52+3578x^53+4953x^54+7676x^55+8684x^56+9986x^57+8920x^58+7834x^59+4985x^60+3146x^61+1578x^62+804x^63+252x^64+150x^65+57x^66+32x^67+9x^68+4x^69+1x^70+3x^72+2x^75

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 33.1 seconds.