The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+28x^69+206x^70+14x^72+4x^77+1x^78+1x^80+1x^94

The gray image is a code over GF(2) with n=560, k=8 and d=276.
This code was found by Heurico 1.16 in 15.7 seconds.