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  1  1  4  1  1  1  1  1  1  2  1  1  1  1  8  1  1  1  1  2  1  1
 0 12  0 12  0 12  0  4  8 12 12  0 12  0  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  0  8  4  4  8  0 12 12  4  0  8 12  8  4  0  4  0  4  8  8  8  8 12 12 12  0  0 12  0  0  8 12 12  8  0  8 12  4  0  0  0
 0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  0  8  8  0  0  0
 0  0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  8  0  0  8  0  8  0  8  0  8  0  8  8  8  8  8  8  0  0  8  0  0  0  8  8  0  0  8  0  0  0  8  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  0  0  8  0  8  0  0  0  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  8  8  8  0  0  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  0  0  0  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  8  8  0  8  0  0  8  8  8  0  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  0  0  0  8  8  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  0  0  0  8  8  0  0

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+63x^64+120x^66+87x^68+512x^69+576x^70+512x^71+56x^72+48x^74+24x^76+8x^80+24x^82+16x^84+1x^132

The gray image is a code over GF(2) with n=560, k=11 and d=256.
This code was found by Heurico 1.16 in 0.397 seconds.