The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+56x^55+193x^56+354x^57+562x^58+956x^59+1231x^60+1926x^61+1568x^62+2716x^63+1829x^64+2016x^65+1059x^66+722x^67+458x^68+280x^69+171x^70+146x^71+59x^72+30x^73+26x^74+10x^75+3x^76+2x^77+5x^78+2x^79+2x^80+1x^90

The gray image is a code over GF(2) with n=504, k=14 and d=220.
This code was found by Heurico 1.16 in 5.11 seconds.