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  2  8  2  8  8  2  1  1  2  4  1  1  2  1  1  0 12  1  2  2  2  4  2  1  0 12  2  1  1  0  2  2  1  1  8  1
 0  2  0  0  0  2  6 14  4 12  6  2  2 10 12 12 12  8  6  0  6 14  4  2  8  4  2 10 14  8 10  2  4  2  0  2 14  0  2  0 12 14  2  8 14  8  2  0 12  8 14  2  8 12  2  2  0 10 14  4 14 10 12  8  2  0
 0  0  2  0  2  2  2  0  8 10  4 14  0  6  2 12  6  2  6  4 10  0 12  8 14  4  8 12  2 14  0  2 14  0  2 14  8 12  8  2 10  0  6 12 14  2 10 10  6  6  6 14  8  0 12  0 14  8  6  2 14  6 10  4 12  0
 0  0  0  2  2  0  2  2  2 10 12  8 14 10  8 12  0 14 14 14  4  6  6  2  0  8 12  8  6 14  0  6  8 10  2 10 12  0 10 12 12 14 12 10  0 14  4  4 12  0  8  4 14  0 10  4  2  4 10 12  8  8 14 12  6  0
 0  0  0  0  8  0  0  0  0  0  0  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  0  8  8  8  0  8  8  8  0  0  8  0  8  8  0  8  8  8  8  0  0  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  8  0  8  0  8  0  8  0  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  8  0  0  0  0  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  8  8  8  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+57x^56+274x^57+622x^58+938x^59+1501x^60+2314x^61+3505x^62+4840x^63+6415x^64+7848x^65+8320x^66+8360x^67+6934x^68+4792x^69+3445x^70+2228x^71+1305x^72+842x^73+437x^74+258x^75+149x^76+54x^77+49x^78+12x^79+22x^80+4x^81+4x^82+4x^83+1x^86+1x^90

The gray image is a code over GF(2) with n=528, k=16 and d=224.
This code was found by Heurico 1.16 in 70.8 seconds.