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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+64x^57+203x^58+398x^59+666x^60+886x^61+1408x^62+1318x^63+2329x^64+1874x^65+2512x^66+1416x^67+1300x^68+764x^69+483x^70+282x^71+221x^72+100x^73+50x^74+54x^75+22x^76+6x^77+15x^78+4x^79+3x^80+2x^81+2x^84+1x^90

The gray image is a code over GF(2) with n=520, k=14 and d=228.
This code was found by Heurico 1.16 in 5.29 seconds.