The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  0 14  4  2 14  0  0  6 10  4 12  2  0  6 12 10  2  8  6 12  6  8 10  4  8 14 12  2  8  2  4 10  8 14 12 14 14  8  8 10  4  6  4  2  8 14  4 10  0  6 12 10  0  6 12 10 14  2  8  8  8
 0  0 12  0 12  4  0  4  8  8  8  8  4 12  4 12  4  0 12  0  0 12  0  4  8  8  8  8 12  4 12  4  4  8 12  0  4  8 12  0  0  8  8  4 12 12  4  0  8  8 12 12  4 12  0  8  0  0  8  0  4  4 12  4  0  0  0  8  4 12  4  4  8
 0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+30x^70+48x^71+289x^72+288x^73+288x^74+48x^75+30x^76+1x^82+1x^138

The gray image is a code over GF(2) with n=584, k=10 and d=280.
This code was found by Heurico 1.16 in 0.441 seconds.