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

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

Homogenous weight enumerator: w(x)=1x^0+28x^69+82x^70+6x^72+4x^74+4x^77+2x^78+1x^96

The gray image is a code over GF(2) with n=560, k=7 and d=276.
This code was found by Heurico 1.16 in 0.16 seconds.