The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^55+630x^56+1202x^57+2097x^58+3312x^59+5091x^60+6936x^61+8523x^62+9444x^63+8689x^64+7076x^65+5206x^66+3186x^67+1890x^68+1062x^69+461x^70+260x^71+133x^72+56x^73+31x^74+10x^75+9x^76+2x^77+2x^78+5x^80+2x^81

The gray image is a code over GF(2) with n=504, k=16 and d=220.
This code was found by Heurico 1.16 in 46.8 seconds.