The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^54+288x^55+510x^56+1192x^57+1867x^58+3588x^59+4864x^60+7212x^61+8432x^62+9254x^63+8823x^64+7374x^65+4916x^66+3438x^67+1700x^68+1052x^69+426x^70+306x^71+90x^72+56x^73+33x^74+22x^75+12x^76+8x^77+10x^78+2x^81

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 47.9 seconds.