The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^63+363x^64+512x^65+1294x^66+1108x^67+2213x^68+1524x^69+2769x^70+1448x^71+2097x^72+924x^73+980x^74+432x^75+337x^76+108x^77+120x^78+36x^79+38x^80+4x^81+18x^82+12x^83+5x^84+3x^86+1x^88+1x^92

The gray image is a code over GF(2) with n=560, k=14 and d=252.
This code was found by Heurico 1.16 in 3.78 seconds.