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

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

Homogenous weight enumerator: w(x)=1x^0+66x^57+237x^58+388x^59+716x^60+920x^61+1237x^62+1726x^63+1956x^64+2052x^65+1979x^66+1800x^67+1176x^68+770x^69+555x^70+322x^71+213x^72+90x^73+84x^74+42x^75+31x^76+4x^77+4x^78+8x^79+2x^80+2x^83+1x^84+2x^85

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 5.39 seconds.