The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+231x^50+304x^51+1124x^52+1500x^53+2731x^54+3272x^55+4629x^56+5224x^57+4750x^58+3412x^59+2736x^60+1260x^61+846x^62+304x^63+233x^64+80x^65+75x^66+4x^67+36x^68+7x^70+9x^72

The gray image is a code over GF(2) with n=456, k=15 and d=200.
This code was found by Heurico 1.16 in 12 seconds.