The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^56+224x^57+278x^58+550x^59+678x^60+920x^61+811x^62+1282x^63+823x^64+906x^65+648x^66+508x^67+209x^68+160x^69+38x^70+18x^71+21x^72+26x^73+13x^74+10x^75+8x^76+4x^77+2x^78+2x^80+1x^82+1x^84+1x^86

The gray image is a code over GF(2) with n=504, k=13 and d=224.
This code was found by Heurico 1.16 in 1.53 seconds.