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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+16x^67+55x^68+112x^69+656x^70+112x^71+54x^72+16x^73+1x^76+1x^136

The gray image is a code over GF(2) with n=560, k=10 and d=268.
This code was found by Heurico 1.16 in 19 seconds.