The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+246x^57+551x^58+826x^59+973x^60+1016x^61+1150x^62+1052x^63+952x^64+672x^65+336x^66+214x^67+77x^68+40x^69+45x^70+16x^71+4x^72+10x^73+4x^74+4x^75+1x^78+1x^80+1x^82

The gray image is a code over GF(2) with n=496, k=13 and d=228.
This code was found by Heurico 1.16 in 1.05 seconds.