The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1  4 10  1  1  1  2  1 12  1  1  8  4  1  1  1  1  1  1  6  8  1  2
 0  1 11  6 13  1  0  3  1 14  5  1 12  1  1  7  2  9  1 10  1 15  0  1  1 14 11  4  1  7 15  1  1 13  8
 0  0 12  0  4  0 12  0  4 12  8  4  8 12  0 12 12  8 12  8  0  8  0  4 12  4 12 12  4  4  0  0  4  4  4
 0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  8  0  8  8  8  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  8  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  8  0  8  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  8  8  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  0  0  0  8  8  0  8  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  8  0  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+169x^28+32x^29+430x^30+496x^31+2530x^32+3664x^33+6114x^34+6048x^35+6101x^36+3456x^37+2454x^38+624x^39+488x^40+16x^41+86x^42+49x^44+4x^46+5x^48+1x^52

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 8.58 seconds.