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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+349x^64+96x^65+722x^66+696x^67+820x^68+1256x^69+680x^70+1328x^71+544x^72+560x^73+492x^74+152x^75+266x^76+8x^77+136x^78+58x^80+18x^82+9x^84+1x^100

The gray image is a code over GF(2) with n=560, k=13 and d=256.
This code was found by Heurico 1.16 in 13.4 seconds.