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

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

Homogenous weight enumerator: w(x)=1x^0+170x^66+80x^67+231x^68+304x^69+566x^70+304x^71+133x^72+80x^73+126x^74+25x^76+18x^78+9x^80+1x^128

The gray image is a code over GF(2) with n=560, k=11 and d=264.
This code was found by Heurico 1.16 in 0.764 seconds.