The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^54+110x^55+220x^56+470x^57+965x^58+1494x^59+2689x^60+3694x^61+4318x^62+4960x^63+4375x^64+3600x^65+2572x^66+1518x^67+851x^68+376x^69+248x^70+88x^71+53x^72+42x^73+34x^74+20x^75+10x^77+11x^78+2x^79+3x^80+1x^82+1x^86

The gray image is a code over GF(2) with n=504, k=15 and d=216.
This code was found by Heurico 1.16 in 13.5 seconds.