The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^28+64x^29+558x^30+584x^31+2008x^32+4260x^33+4978x^34+7652x^35+5128x^36+4136x^37+1894x^38+656x^39+494x^40+52x^41+118x^42+4x^43+56x^44+4x^46+1x^48

The gray image is a code over GF(2) with n=280, k=15 and d=112.
This code was found by Heurico 1.16 in 6.16 seconds.