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

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

Homogenous weight enumerator: w(x)=1x^0+252x^57+539x^58+766x^59+1275x^60+1758x^61+2466x^62+3278x^63+3974x^64+4308x^65+4028x^66+3396x^67+2387x^68+1614x^69+1055x^70+696x^71+467x^72+234x^73+153x^74+54x^75+22x^76+20x^77+14x^78+2x^79+2x^80+6x^81+1x^86

The gray image is a code over GF(2) with n=520, k=15 and d=228.
This code was found by Heurico 1.16 in 23.2 seconds.