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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+74x^70+96x^71+76x^72+2x^74+1x^76+4x^78+1x^80+1x^92

The gray image is a code over GF(2) with n=568, k=8 and d=280.
This code was found by Heurico 1.16 in 0.381 seconds.