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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+40x^52+130x^53+74x^54+302x^55+217x^56+592x^57+191x^58+268x^59+78x^60+58x^61+20x^62+54x^63+16x^64+4x^65+2x^66+1x^98

The gray image is a code over GF(2) with n=456, k=11 and d=208.
This code was found by Heurico 1.16 in 0.241 seconds.