The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  1  1  2  2  1  1  4  0  4  2  2  8  2  2  4  1  1  2  2  1  1  4  4  4  4  4  1  1
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8  0  8 12  4 12  4  4  0  8  4 12  4  8  0  8  0  8 12  4  0 12  4  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+49x^52+8x^54+1x^56+4x^58+1x^60

The gray image is a code over GF(2) with n=416, k=6 and d=208.
This code was found by Heurico 1.16 in 0.0616 seconds.