The generator matrix

 1  0  1  1  1  2  1  1  2  1  1  0  1  6  6  1  1  0  1  1  1  1  2  1  1 10 14  1  1  2  1 10  1  1  1
 0  1  1  0  3  1 12  9  1  8 11  1  6  1  1  4 13  1 11 14  3  7  2  4  3  1  1  3  9  2 15  1  2  4  0
 0  0  2  0  6  0  2  8 14  6  0  6  4  8  2 12 14 10 14  6  4  0 12  0 10 12  6 10 14  6  0 12  6 10  0
 0  0  0  2  6  2  4 14 10 10  4  0 12  8 12 14 10  2  4 12  2 12  6 14  2 12  8  8  6 12  6 14  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  8  0  0  8  0  0  0  0  0  8  0  8  0  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  0  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+89x^28+332x^29+900x^30+2012x^31+4454x^32+6652x^33+12330x^34+11616x^35+12827x^36+6904x^37+4280x^38+1862x^39+793x^40+246x^41+146x^42+60x^43+12x^44+8x^45+8x^46+2x^47+2x^49

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 21 seconds.