The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+190x^64+228x^65+816x^66+1248x^67+2389x^68+3428x^69+4726x^70+7148x^71+7730x^72+9600x^73+8054x^74+7364x^75+4759x^76+3404x^77+1974x^78+1096x^79+664x^80+212x^81+290x^82+36x^83+82x^84+24x^85+38x^86+4x^87+23x^88+4x^90+2x^92+2x^94

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 58.7 seconds.