The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^56+132x^57+546x^58+852x^59+1353x^60+1972x^61+2108x^62+2260x^63+2255x^64+2044x^65+1195x^66+780x^67+457x^68+140x^69+87x^70+12x^71+25x^72+23x^74+16x^76+9x^78+7x^80+2x^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 3.65 seconds.