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

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

Homogenous weight enumerator: w(x)=1x^0+197x^50+200x^51+755x^52+804x^53+1410x^54+1708x^55+1906x^56+2856x^57+1746x^58+1712x^59+1203x^60+628x^61+588x^62+204x^63+267x^64+64x^65+81x^66+16x^67+25x^68+10x^70+2x^72+1x^76

The gray image is a code over GF(2) with n=456, k=14 and d=200.
This code was found by Heurico 1.16 in 4.72 seconds.