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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+132x^56+606x^57+884x^58+1568x^59+2383x^60+3496x^61+4849x^62+6794x^63+7612x^64+8860x^65+7835x^66+6986x^67+4761x^68+3438x^69+2211x^70+1362x^71+740x^72+492x^73+281x^74+150x^75+48x^76+34x^77+4x^78+4x^79+2x^80+2x^81+1x^88

The gray image is a code over GF(2) with n=520, k=16 and d=224.
This code was found by Heurico 1.16 in 68.2 seconds.