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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+28x^63+314x^64+738x^65+1066x^66+1828x^67+2332x^68+3626x^69+4717x^70+6520x^71+7180x^72+8542x^73+7891x^74+6508x^75+4786x^76+3482x^77+2189x^78+1574x^79+817x^80+670x^81+308x^82+204x^83+114x^84+56x^85+18x^86+10x^87+8x^88+6x^89+2x^90+1x^98

The gray image is a code over GF(2) with n=584, k=16 and d=252.
This code was found by Heurico 1.16 in 78.5 seconds.