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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+27x^52+8x^53+26x^54+120x^55+659x^56+120x^57+32x^58+8x^59+17x^60+5x^62+1x^110

The gray image is a code over GF(2) with n=448, k=10 and d=208.
This code was found by Heurico 1.16 in 0.198 seconds.