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

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

Homogenous weight enumerator: w(x)=1x^0+153x^56+116x^57+546x^58+588x^59+1373x^60+1508x^61+2822x^62+2960x^63+4417x^64+3944x^65+4366x^66+3096x^67+2822x^68+1464x^69+1134x^70+496x^71+518x^72+132x^73+184x^74+28x^75+43x^76+4x^77+36x^78+12x^80+2x^84+3x^88

The gray image is a code over GF(2) with n=520, k=15 and d=224.
This code was found by Heurico 1.16 in 19.9 seconds.