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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+266x^65+212x^66+432x^67+336x^68+678x^69+504x^70+568x^71+262x^72+350x^73+188x^74+132x^75+7x^76+106x^77+16x^78+16x^79+1x^80+8x^81+8x^82+4x^83+1x^108

The gray image is a code over GF(2) with n=560, k=12 and d=260.
This code was found by Heurico 1.16 in 65.4 seconds.