The generator matrix

 1  0  1  1  1  8  1  1 14  1  6  1  6  1  1  1  1 10  1  1 10  1  4  1  1  2  1 12  1  1  6  1  1  1  1 10  1  1  1  1  1  1  1  1  8  8  4  8  4  0  8  8  8 12  4  2  2  2  2  6 10 14  4 12 10  2 14  1  1  1
 0  1  1  4  3  1  2  7  1  6  1  5  1  2  5  4  3  1  8  9  1 13  1 14  9  1 14  1  5 12  1 11  4  9 14  1 15  7  0 10  0  7  2  3  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 10  0  4
 0  0  2 10  8 10 10  2 12  0  6  8  0  6 12 14  4 14  4  6  2  2  4  4  4  4 10 14 14 12  2  6  0  8 14  0 14 12  6 12 10  8  0  2  0  2 14  4  0 12  8 14  6  8 12 10 14  6  2  8 12  0  2 10  4  8 14  8 14  4

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

Homogenous weight enumerator: w(x)=1x^0+244x^67+556x^68+166x^69+201x^70+208x^71+446x^72+126x^73+30x^74+44x^75+12x^76+4x^77+4x^81+4x^83+1x^100+1x^106

The gray image is a code over GF(2) with n=560, k=11 and d=268.
This code was found by Heurico 1.16 in 0.238 seconds.