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

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

Homogenous weight enumerator: w(x)=1x^0+98x^63+390x^64+698x^65+1050x^66+1798x^67+2455x^68+3612x^69+4340x^70+6958x^71+7310x^72+8502x^73+6697x^74+7044x^75+4772x^76+3734x^77+2349x^78+1530x^79+913x^80+552x^81+312x^82+222x^83+93x^84+46x^85+26x^86+14x^87+2x^88+8x^89+5x^90+5x^94

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 82.1 seconds.