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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+50x^52+64x^54+256x^55+118x^56+20x^60+1x^64+2x^76

The gray image is a code over GF(2) with n=440, k=9 and d=208.
This code was found by Heurico 1.16 in 0.103 seconds.