The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^56+208x^57+582x^58+788x^59+1448x^60+1728x^61+2222x^62+2228x^63+2377x^64+1744x^65+1336x^66+796x^67+421x^68+160x^69+124x^70+28x^71+31x^72+10x^74+16x^76+14x^78+6x^80+3x^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 4.66 seconds.