The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+54x^65+635x^66+1176x^67+3071x^68+3462x^69+6034x^70+5850x^71+8719x^72+7610x^73+8965x^74+6228x^75+5901x^76+2972x^77+2646x^78+1030x^79+692x^80+224x^81+144x^82+48x^83+44x^84+10x^85+7x^86+4x^87+4x^88+4x^89+1x^94

The gray image is a code over GF(2) with n=584, k=16 and d=260.
This code was found by Heurico 1.16 in 44.7 seconds.