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  2  2  2  2  2  2  2  2  2  2  2  2  2  4  2  2  2  8  2  2  2  2  2  2
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  8  8  8  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  0  8  0  8  8  0  0  0  0  0  8  8  0
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  0  8  8  0  0  8  8  8  0  8  0  0  0  0  0  0  0  8  8
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^52+128x^55+180x^56+128x^57+22x^60+11x^64+2x^76

The gray image is a code over GF(2) with n=448, k=9 and d=208.
This code was found by Heurico 1.16 in 0.0773 seconds.