The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  1  4  1  1  0  4  2  1  1  2  1  1
 0 12  0  4  0  0  4 12  0  8  4  0 12 12  8  4  8  4  8  0 12  4  4  8 12 12  8  4  0 12 12  4  8  4  4
 0  0 12  4  0 12  4  0  8  4  0  0  8  4  4  4  4 12  4  8  0  4 12  0  8  8 12  8 12  8  4  0  4  8  4
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  8  0  0  0  8  8  0  8  8  8  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  8  8  8  8  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+155x^28+8x^29+214x^30+80x^31+502x^32+760x^33+1706x^34+1376x^35+1719x^36+760x^37+430x^38+80x^39+260x^40+8x^41+78x^42+43x^44+4x^46+5x^48+3x^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 0.987 seconds.