The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+204x^66+1654x^67+2396x^68+4758x^69+4876x^70+7294x^71+7719x^72+8304x^73+7487x^74+7488x^75+4731x^76+4342x^77+2005x^78+1446x^79+388x^80+244x^81+109x^82+38x^83+25x^84+16x^85+7x^86+4x^88

The gray image is a code over GF(2) with n=584, k=16 and d=264.
This code was found by Heurico 1.16 in 39.7 seconds.