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  1  1  1  1  2  1  2  2  2  8  2 12  2  4  2  8  1  1  0  1  8  1  1  1  1  1  2  2  1  2  1  0  1  2  2  1  4  1
 0  2  0  0  0  2  6 14  0  8  0  2  6 12 14  2  8 14 14  4 12  6 10 12 10  2 12  4  2 14  0 10  4  4 12  8  2 10  2  2  2  0 12  8  8  8  2  2  0  6 10  4  8 10 10  8  2 14 14 14  6  4  0
 0  0  2  0  2  2  2  0  4 14  8  0  8 14 10 10  2  6  4  0  4  8 12  6 10  6  6  8  6 12  4  4  2  6  2  0  4  2 14  4  8  4  8  2  8  2 10 14  6  0  4  0 10  8  8 14  4  2 12  0  4  8 14
 0  0  0  2  2  0  2 10  8  2 14 14  4 12 14 12  6  4  2  6  0  8  8  8  2 14 10 12  0 14  6  4 14  4  8  2  2 12  4  0 14 10  8 14 14 14  0 12  8  6  4 10 12  4  0 12 12 12 14 12  8  2  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  8  0  0  0  0  0  8  8  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+166x^55+557x^56+742x^57+1156x^58+1684x^59+2813x^60+3046x^61+4367x^62+3632x^63+4764x^64+3116x^65+2620x^66+1534x^67+1037x^68+668x^69+424x^70+206x^71+132x^72+40x^73+39x^74+10x^75+6x^76+2x^77+2x^80+2x^81+1x^82+1x^86

The gray image is a code over GF(2) with n=504, k=15 and d=220.
This code was found by Heurico 1.16 in 21.4 seconds.