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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+198x^54+484x^55+1026x^56+1416x^57+2360x^58+3596x^59+5017x^60+6612x^61+7682x^62+8580x^63+8092x^64+6724x^65+4992x^66+3468x^67+2218x^68+1340x^69+798x^70+440x^71+264x^72+100x^73+80x^74+8x^75+21x^76+18x^78+1x^80

The gray image is a code over GF(2) with n=504, k=16 and d=216.
This code was found by Heurico 1.16 in 68.2 seconds.