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  8  1  8  2  2  2  2  4  2 12  1  1  1  1  1  2  1 12 12  1  1  2  1  2  1  1  0  1  2  0 12  1  2  1  2  2  1
 0  2  0  2  0  0  6  6  4 14  2  4 12 14  2 12  2  4  4 10 14  6 12  0 10 12  4  8  2 10 10  6 12  2 10  2  0  2  8  6  6  0 12  2  2  2 10  6  8  0 10 10  2 10 10  2  8 10  6 12  4 12  8
 0  0  2  2 12  6  6  0  4  4 14  2  0  2 12  6 10  4  2  4  2  0 10  0  0  8  2  2 12 14  0  8  6  2  6 14  6 12  6 14 12  6  8  0  0  6 14  8 10 10 14  6  6  0 14  0  2  4 12  8  2 10  4
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  8  8  0  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  0  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  8  0  8  0  0  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  0  0  0  8  0  0  8  0  8  0  0  0  8  8  8  0  8  8  0  8  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  0  8  0  8  8  8  8  8  0  8  0  8  0  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+103x^54+172x^55+475x^56+692x^57+1098x^58+1768x^59+2568x^60+3416x^61+4024x^62+4336x^63+4018x^64+3408x^65+2479x^66+1720x^67+999x^68+648x^69+419x^70+196x^71+105x^72+28x^73+52x^74+22x^76+14x^78+1x^80+3x^82+3x^84

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 19.1 seconds.