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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+168x^69+84x^70+560x^71+14x^72+168x^73+28x^74+1x^128

The gray image is a code over GF(2) with n=568, k=10 and d=276.
This code was found by Heurico 1.16 in 9.55 seconds.