The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+168x^57+463x^58+988x^59+1507x^60+2044x^61+2234x^62+2068x^63+2178x^64+1762x^65+1276x^66+876x^67+381x^68+176x^69+97x^70+76x^71+44x^72+26x^73+8x^74+8x^75+1x^78+1x^82+1x^88

The gray image is a code over GF(2) with n=504, k=14 and d=228.
This code was found by Heurico 1.16 in 3.08 seconds.