The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+220x^30+284x^31+735x^32+836x^33+1398x^34+1384x^35+1357x^36+792x^37+644x^38+252x^39+191x^40+36x^41+38x^42+19x^44+4x^46+1x^48

The gray image is a code over GF(2) with n=280, k=13 and d=120.
This code was found by Heurico 1.16 in 0.677 seconds.