The generator matrix

 1  0  1  1  1  4  1  1 14  1  1  4  2  1  1  1 10  1  1  1 10 12  1  1  1  1  1  1  2  1  1  0 12  1 14  1  1  6  1  1  8  8  1  8  1  1  1  6  1  1 12  1  2  1  1  1  1  1 10  8 12  6  1  2  2
 0  1  1  4  3  1  2  7  1  6  5  1  1 12 15  7  1 10  8  9  1  1  1  2 11  6  9  4  1 14 11  1  1 14  1  5  8  1 15  6  1  1  7  4  2 10 11  1  0  9  4  1  6 12 10  5  1  4  1  0  1  1 13  1  4
 0  0  2  2  0  2  2  2  4  0  8  4  2  6  6  4  6 14  4  6  0  6  4  4 10  6  8  4  2  2 12  6  0  4  4 14 10  0  0  0  6  2  2  2  2  8  2  6 14  8  2 12  6  4 14  8  2  2  6  2 10  0 10  2  2
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  8  0  0  0  0  8  8  0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  8  8  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  8  0  8  8
 0  0  0  0  0  0  0  8  8  0  0  8  8  8  0  8  8  8  0  0  8  0  0  8  0  0  0  8  0  0  8  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  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+141x^56+172x^57+654x^58+820x^59+2436x^60+3068x^61+5680x^62+5992x^63+9523x^64+8600x^65+9592x^66+6000x^67+5840x^68+3064x^69+2208x^70+728x^71+518x^72+188x^73+150x^74+28x^75+72x^76+12x^77+16x^78+24x^80+4x^82+4x^84+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 50 seconds.