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  2  2  2  2  2  2  1  1  1  1  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  4  1  1  1  1  1  1  1  1  0  4  4  0  8  4
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  0  8  4 12  0  8  4 12  8  0 12  4  4  8  0 12 12  4  8  0 12  4  8  0 12 12  4  4  0  0  8  8  0  8  4 12  0  8  4 12  0  8  0 12  4  8  0 12  4  8  4  4  4  4  0
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  0  4  4  0  8 12 12  8  8 12 12  8 12  4  4  0  8  4  0  4  4  0 12 12 12  4  8  0  0  8  8  0  0  4  4  0  8 12 12  8 12  8 12 12  8  0  4  4  0  4  4  8  0 12  0

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

Homogenous weight enumerator: w(x)=1x^0+168x^70+28x^72+56x^74+2x^80+1x^96

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 0.296 seconds.