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  0  2  2  2
 0  2 12  6  0  6 12 10  0  6 10 12  0  6 12  2  0  6 12 10  0  6 12  2  0  6 12  2  0  6 12  2  8 14  4 10  8 14  4  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  8 14  4 10  8 14  4 10  0  6 12 10  6  2 10  6  0
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  0  0  8  8  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  0  0  8  0  8  0  0  0  8  8  0  8  0  8
 0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  8  0  0  8  0  0  0  0  0  8  8  0  0  8  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+64x^71+288x^72+256x^73+289x^74+64x^75+30x^76+1x^82+1x^136

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 0.331 seconds.