The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+65x^64+306x^65+801x^66+1482x^67+2489x^68+3136x^69+5758x^70+6160x^71+8967x^72+7680x^73+8799x^74+6034x^75+5701x^76+3252x^77+2300x^78+1198x^79+655x^80+318x^81+248x^82+92x^83+30x^84+28x^85+9x^86+10x^87+12x^88+2x^90+1x^94+2x^98

The gray image is a code over GF(2) with n=584, k=16 and d=256.
This code was found by Heurico 1.16 in 55.9 seconds.