The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  1  2  1  1  1  1  1  1  0  1  2  0  1  1  1  2
 0  2 12  6  0  6 12 10  0  6 12 10  6  2  6  0 10  2 12 10  6  6  0 12 12 10 10  2  6 10  2 12  4  0  0
 0  0  8  0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8
 0  0  0  8  0  0  0  0  0  8  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  0  0  0  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  8  8  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  0  0  8  0  0  8  8  0  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  8  0  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+98x^28+16x^29+134x^30+160x^31+501x^32+1008x^33+1326x^34+1728x^35+1331x^36+1008x^37+434x^38+160x^39+210x^40+16x^41+26x^42+26x^44+8x^48+1x^52

The gray image is a code over GF(2) with n=280, k=13 and d=112.
This code was found by Heurico 1.16 in 0.614 seconds.