The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  1  1 10  1  1 12  1 14  1  1  1  6  1  1  1  4  1  1  1  1  1  2  4  2  1  1  1  1  1  1  8  2  8 12  1  1  1  1  1  1  1  1  1  1
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1  4 15  2  9  1  1  1  1  0  3  1  6 13  1  7  1  5  8 14  1  4  2  8  1  7  9  7  5 10  1  2  6 10  6 12  8 12  0  1  1  1  1  3  7  8  9  0  3  9  4  4  4
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  4  0 12  8  0  8  0  0  0  8  0  0  4 12  4  4  8  4  4  0  4  4  0  4  4  8  8  4  0 12  8  4  4 12  0 12  4 12  4  0  8  0  8  8  0 12  8  0  4  4 12  8
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  0  8  8  0  0  0  8  0  8  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  0
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+64x^65+309x^66+536x^67+478x^68+466x^69+437x^70+606x^71+383x^72+412x^73+232x^74+70x^75+62x^76+12x^77+12x^78+2x^79+1x^80+4x^81+1x^82+2x^83+2x^84+2x^85+1x^94+1x^96

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 0.546 seconds.