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

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

Homogenous weight enumerator: w(x)=1x^0+262x^57+460x^58+818x^59+1406x^60+1706x^61+2656x^62+3212x^63+4051x^64+4062x^65+3999x^66+2992x^67+2553x^68+1824x^69+1110x^70+632x^71+475x^72+258x^73+142x^74+86x^75+25x^76+14x^77+14x^78+4x^79+1x^80+2x^81+3x^82

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 30.4 seconds.