The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+83x^56+444x^57+1275x^58+1780x^59+2946x^60+3368x^61+4428x^62+4152x^63+4943x^64+3290x^65+2728x^66+1412x^67+928x^68+538x^69+278x^70+80x^71+25x^72+34x^73+23x^74+2x^76+6x^77+2x^78+2x^82

The gray image is a code over GF(2) with n=504, k=15 and d=224.
This code was found by Heurico 1.16 in 9.93 seconds.