The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+56x^70+112x^71+189x^72+100x^73+24x^74+4x^75+18x^76+2x^77+2x^79+2x^81+2x^83

The gray image is a code over GF(2) with n=576, k=9 and d=280.
This code was found by Heurico 1.16 in 0.184 seconds.