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

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

Homogenous weight enumerator: w(x)=1x^0+281x^56+512x^57+992x^58+1480x^59+2165x^60+3272x^61+5132x^62+6512x^63+7812x^64+9000x^65+8072x^66+6916x^67+4991x^68+3292x^69+2036x^70+1240x^71+832x^72+416x^73+308x^74+108x^75+99x^76+20x^77+32x^78+9x^80+4x^82+1x^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 92.2 seconds.