The generator matrix

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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+96x^52+64x^53+80x^54+12x^56+3x^64

The gray image is a code over GF(2) with n=424, k=8 and d=208.
This code was found by Heurico 1.16 in 0.129 seconds.