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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+9x^68+34x^69+173x^70+26x^71+6x^72+2x^73+2x^74+2x^87+1x^106

The gray image is a code over GF(2) with n=560, k=8 and d=272.
This code was found by Heurico 1.16 in 0.194 seconds.