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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+50x^56+65x^58+256x^62+1280x^63+307x^64+36x^66+26x^72+26x^74+1x^122

The gray image is a code over GF(2) with n=504, k=11 and d=224.
This code was found by Heurico 1.16 in 0.25 seconds.