The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+102x^66+668x^67+598x^68+756x^69+488x^70+500x^71+233x^72+288x^73+170x^74+100x^75+39x^76+92x^77+24x^78+28x^79+6x^80+3x^84

The gray image is a code over GF(2) with n=560, k=12 and d=264.
This code was found by Heurico 1.16 in 0.259 seconds.