The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^29+532x^30+1066x^31+2337x^32+3424x^33+5859x^34+5856x^35+6204x^36+3492x^37+2239x^38+900x^39+418x^40+200x^41+57x^42+16x^43+16x^44+4x^45+1x^46+2x^47

The gray image is a code over GF(2) with n=280, k=15 and d=116.
This code was found by Heurico 1.16 in 5.76 seconds.