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  2  1  0  1  8  1  0  1  1  1  1  1  2  1  1  1  0  1  1  1  1  2  1  1  1  2  1  1  1 12  2  1  1  2  1  0  1  2  1  1  8  2  1  1  4  0  1  1
 0  2  0  6  0 14 10  8  6  8  2  8  0  8  6  2  4  6  2  4  2  2 14 12  2 10  2  4  2  0 10  4  2  4  6  0  6  6  2  4 10  8 10  2  6 10  8  2  0 14  4  2  6  8 12  6 14  2 12 10  4 14  2  4  0 14  0  2  0 14
 0  0 12  0  0  0  0  4  4  8  4  4  8 12  4  4  4  0  8  0  4 12 12 12  8  8  0  8  4 12 12 12 12  8 12  8 12  8  0  4  0  8  4 12 12  0 12  0  4  8 12  4  8 12  0 12  8  0  0  0 12  4 12  4  0 12  4  8  0 12
 0  0  0 12  0  8 12  0 12  4 12 12  4 12  0  8 12  4 12  4  0  0 12  0  4  0  8  8  8 12  4  0 12 12 12 12  4  8  0  0  0  8 12  8  0  4  4  8  8  0  8  4  8  0  0  8 12 12  4 12  8  8 12  4  4  4  0  4  8  8
 0  0  0  0 12 12  4 12  8  0 12  4 12  8 12  0 12  4  0  8  0  4  4 12  4  0 12  8 12  0  8  8  4  0  8  4  8  8  8  0 12 12  0  0 12  8  4 12 12  0  8  0  0  4 12  4 12 12  0  8  4 12  8  0  8  4  8 12  8  0

generates a code of length 70 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+124x^63+164x^64+406x^65+353x^66+724x^67+824x^68+990x^69+984x^70+1278x^71+789x^72+590x^73+321x^74+332x^75+75x^76+108x^77+26x^78+26x^79+20x^80+16x^81+9x^82+12x^83+13x^84+2x^85+2x^86+2x^88+1x^106

The gray image is a code over GF(2) with n=560, k=13 and d=252.
This code was found by Heurico 1.16 in 20.8 seconds.