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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+60x^53+160x^54+262x^55+415x^56+624x^57+920x^58+1588x^59+2355x^60+3418x^61+4346x^62+4608x^63+4444x^64+3306x^65+2313x^66+1608x^67+839x^68+556x^69+382x^70+210x^71+118x^72+92x^73+59x^74+44x^75+18x^76+6x^77+11x^78+2x^80+2x^81+1x^86

The gray image is a code over GF(2) with n=504, k=15 and d=212.
This code was found by Heurico 1.16 in 21.7 seconds.