The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^66+322x^67+241x^68+314x^69+267x^70+220x^71+166x^72+228x^73+76x^74+50x^75+37x^76+18x^77+1x^78+1x^82+1x^88+1x^90+2x^92

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 0.318 seconds.