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

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

Homogenous weight enumerator: w(x)=1x^0+37x^52+32x^53+192x^54+32x^55+180x^56+4x^58+19x^60+10x^62+2x^64+2x^70+1x^72

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 0.131 seconds.