The generator matrix

 1  0  1  1  1  4  1  1  2 14  1  1  1  1  1 14  1  2  4  1  1  1 12  1  6  1  1  1  8  1  4  1 10  4  1  1  1  1  0  1  1  1  0  0  1  1 14  1  1  6 12 12  1 10  1  0  2  2 12  1  8  1  0 12  1
 0  1  1  0 11  1 14 15  1  1  2 13 11  4  1  1  0  1  1  9 10  6  1  5  1  4  8 11  1  5  1  8  1  1  9  0  7  0  1 15 14 11  1  8  9  7  1 15  4  1  2  2  1  1 13  1  4  1  1  8  1  8  2  1  0
 0  0  2  6  0  2  4 14  2  4 14  0  0  6  8  8  0 10  2  6  2  0  8  6  4  2  4  6 14  8  4  0  6 10 12  2 14 10 10  6  0 10  4  2  6 12 12  2  2  2  2  6 14  8  0 10 14  8  6  0  6 14 14 14  0
 0  0  0 12  0  0  0  0  8  0  4  0 12  8  4  0  4 12 12 12  8  4  4 12 12  4  4  0  8 12  4  8  4  4  4  4  8  8  0  4  8  8  8 12  0  8 12  4  4  4  8  8  0  8  4  4  0 12  4  4  0  8  8 12  0
 0  0  0  0 12  0  8  8  8  0  0  4  0  4  0 12  4 12  4 12  4  4  4  4  0 12  8  4  4  4 12  4  0  8  4 12 12  8 12  8 12  0  4  4  8  0  4  8  0  8  4  8  4  0  8  4  8  8  4 12 12  8  4 12  0
 0  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  8  8  0  8  0  8  8  8  0  8  8  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+116x^56+262x^57+652x^58+1154x^59+2203x^60+2964x^61+5383x^62+6516x^63+9112x^64+8908x^65+9264x^66+6616x^67+5100x^68+3044x^69+2159x^70+928x^71+565x^72+214x^73+173x^74+78x^75+50x^76+32x^77+30x^78+4x^79+2x^80+3x^82+3x^84

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.