The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  2  8  1  1  4  1  1 10  1  1  1 12  1  6  1  4  1  1 10  1  1  1  1 10  1  1  8  1  2  1  4  1  1  2  2  0 10  1 12  1 12  1  2  1 14  2  0  1 12  2  1 12 12  1
 0  1  1  0 11  1 13  2  1  6  7  1  1  8  3  1 10 15  1 10  5  4  1 13  1 13  1  4  7  1  9 13  6 14  1  7 12  1  2  1  4  1  2  7  0  1  1  1  8  1 15  0  2 12 13  1  1 12 14  1 12 12  2  8  0
 0  0  2  6  0  2  8 14  0  0  2  2  0  8 10  2  6  4 10  4  0  2 12  6  4  4  2  4  4  6 14  8 12 10 12 10 10  2 12  0  8  0  6  4 10 12  4 10  4 10 14  2  8  2 10  0 12  2  8 12 14 10  8  2  0
 0  0  0 12  0  0  4  8  4 12  4  4 12  8  4 12  4  8  0  4  4  8  0  8  0 12  4  0 12  0  4  0  8  0 12  8  8  4 12  4 12  4  4  0  4  0  8  8  0  4  4  0  8 12 12  4 12 12  0 12 12 12 12  0  0
 0  0  0  0 12  8  0 12 12 12  4 12  0 12  0  8 12  0  4  8  4  8  0  4 12  0 12  4  4 12  4  0  4  0 12  4 12  4  4  0  8 12  8 12  8  8  8  0  0  0  4 12  4 12  8  8  4  8  8  8  8  0  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+64x^57+348x^58+580x^59+1248x^60+1858x^61+2534x^62+3304x^63+4313x^64+4466x^65+4391x^66+3178x^67+2561x^68+1734x^69+1143x^70+502x^71+230x^72+112x^73+91x^74+50x^75+26x^76+14x^77+3x^78+2x^79+4x^80+6x^81+2x^82+1x^84+2x^85

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 13.2 seconds.