The generator matrix

 1  0  1  1  6  1  4  1  1  1 10  1  2  1  1  1  8  1  1 10  8  1  1  1  1 14  1  1  6  8  1  1  1  1  1 14  1  1  0 14  1  2  1  8  1  4  8  8 12  2  1  2  1 12  1  1  2 14  1  6  4  4  1
 0  1  1  6  1  7  1 11  4 13  1  2  1 11 14 12  1  9  7  1  1 10  8  9  4  1  5  2  1  1  4 15  0 15 10  1  5  5  1  1  5 12  2  1  7  1  1  1  1  8  6  1  7  1  4  6  1  1  0  1  2  4  0
 0  0  2  0  0  2 10  4  2 12  8  2  2 10 12  8  2  8  4  6 12  6 10  6  4 12  8  4 14  4 10  6 14  8 14  0  6  0 10  2  6 14  4 10 10  6  4  0 10 14  4 14 14  8 14  6 12  8 12  4  2  4  0
 0  0  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  8  0  8  0  8  0  0  8  0  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  8  0  0  0  8  0  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  0  8  0  8  8  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  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+86x^56+250x^57+535x^58+1204x^59+1108x^60+1944x^61+2003x^62+2488x^63+1680x^64+2124x^65+1155x^66+812x^67+422x^68+268x^69+139x^70+96x^71+22x^72+18x^73+5x^74+8x^75+6x^76+4x^77+1x^78+3x^80+1x^82+1x^86

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 3.23 seconds.