The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+241x^28+204x^29+1018x^30+1628x^31+4490x^32+6284x^33+13664x^34+10332x^35+13862x^36+6404x^37+4380x^38+1588x^39+1038x^40+164x^41+128x^42+20x^43+73x^44+10x^46+7x^48

The gray image is a code over GF(2) with n=280, k=16 and d=112.
This code was found by Heurico 1.16 in 20.9 seconds.