The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  2  1  1  2  2  2  2  4  1  1
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  4  8  8  4  4  0  8 12 12 12  8  0 12  4  8  4  4  4  0  0  4
 0  0 12  0  0  0  4 12 12  8  4  0 12  8  4 12  4  4  8  4  0  0  4  4 12  4  0  4  4  8  4 12 12 12  4
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4  8  0 12 12  4  8  8  0 12  8  8  4  4 12 12  4  8  0 12  4
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12 12  0 12  0  0 12 12  4  8  4 12  4 12 12  0  4  0  8  0  4
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  8  8  8  8  0  8  0  0  8  0  8  0  8  0  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+123x^28+4x^29+294x^30+80x^31+460x^32+484x^33+1718x^34+1920x^35+1691x^36+524x^37+430x^38+48x^39+242x^40+12x^41+106x^42+41x^44+12x^46+1x^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 0.791 seconds.