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

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

Homogenous weight enumerator: w(x)=1x^0+240x^65+226x^66+424x^67+485x^68+576x^69+470x^70+502x^71+384x^72+306x^73+152x^74+130x^75+45x^76+88x^77+12x^78+30x^79+13x^80+6x^81+3x^82+2x^83+1x^106

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 6.38 seconds.