The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+666x^59+840x^60+1266x^61+1041x^62+1304x^63+801x^64+896x^65+438x^66+406x^67+216x^68+174x^69+40x^70+76x^71+12x^72+8x^73+4x^75+2x^76+1x^78

The gray image is a code over GF(2) with n=504, k=13 and d=236.
This code was found by Heurico 1.16 in 338 seconds.