The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+94x^29+331x^30+588x^31+1044x^32+1902x^33+2762x^34+3058x^35+2689x^36+1910x^37+1053x^38+504x^39+252x^40+106x^41+40x^42+26x^43+13x^44+4x^45+6x^46+1x^48

The gray image is a code over GF(2) with n=280, k=14 and d=116.
This code was found by Heurico 1.16 in 4.69 seconds.