The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^56+124x^57+576x^58+740x^59+1703x^60+1556x^61+2574x^62+1836x^63+2541x^64+1540x^65+1566x^66+732x^67+457x^68+108x^69+122x^70+20x^71+38x^72+14x^74+15x^76+8x^78+4x^80+4x^82+1x^84

The gray image is a code over GF(2) with n=504, k=14 and d=224.
This code was found by Heurico 1.16 in 3.58 seconds.