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

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

Homogenous weight enumerator: w(x)=1x^0+172x^66+454x^68+256x^69+600x^70+342x^72+124x^74+66x^76+24x^78+8x^82+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 23.1 seconds.