The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+366x^66+456x^67+747x^68+376x^69+542x^70+356x^71+516x^72+208x^73+258x^74+120x^75+69x^76+8x^77+46x^78+12x^79+9x^80+4x^82+1x^88+1x^96

The gray image is a code over GF(2) with n=560, k=12 and d=264.
This code was found by Heurico 1.16 in 0.688 seconds.