The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1 12  1  1  1 14  0  2  1  1  1  1  1  1  1  1  6  1  1  1 14  1  2
 0  1 11  6 13  1  0  3  1  6  1  5  2  1 11 13  0  1  1  1  4  8  9 15 10  5  7  0  1 14  4 10  1 10  8
 0  0 12  0  4  0  0  4  8  0  8  4  0  0  8  0  4  4 12  8  4  4  8  0 12  4 12  4 12  8  8  4  4 12  4
 0  0  0 12  0  0 12  4 12  8  4  4 12  8 12 12 12  8 12  4  8  0  8  8 12  4  8  4 12  4 12 12  8  4  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8
 0  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+145x^28+88x^29+396x^30+840x^31+1872x^32+3984x^33+5752x^34+6480x^35+5927x^36+4152x^37+1732x^38+744x^39+394x^40+96x^41+112x^42+39x^44+8x^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 6.32 seconds.