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

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

Homogenous weight enumerator: w(x)=1x^0+214x^57+280x^58+572x^59+657x^60+924x^61+985x^62+1342x^63+862x^64+806x^65+463x^66+484x^67+187x^68+178x^69+81x^70+56x^71+52x^72+20x^73+13x^74+8x^75+2x^77+2x^78+2x^79+1x^88

The gray image is a code over GF(2) with n=504, k=13 and d=228.
This code was found by Heurico 1.16 in 6.73 seconds.