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

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

Homogenous weight enumerator: w(x)=1x^0+7x^52+32x^53+34x^54+192x^55+495x^56+192x^57+28x^58+32x^59+9x^60+1x^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 0.131 seconds.