The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^65+280x^66+514x^67+534x^68+460x^69+442x^70+432x^71+532x^72+434x^73+226x^74+88x^75+17x^76+24x^77+6x^78+2x^79+3x^80+2x^81+5x^82+2x^83+2x^87+1x^92+1x^98

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 0.532 seconds.