The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  2  1  1  1  0  2  1  1  1  1  8  1  4  1  0  1  8  0  1  0
 0  2  0  6  0  6  8  6 14  0  0 14  6  2 14 14  4  2  8  2  6 10 14  4  6  2  2  2 14  0 10  2  2  8  2
 0  0 12  0  0  0 12  0  0  8  4  4  4  8  4  8  4  8  8 12  4  4  4 12  4 12  4  0  0  4  0  0  4 12  0
 0  0  0 12  0  0  0  4  8 12  4 12  0  8  4 12  0  8  4  4  8  0 12 12  0  8  0  8  4  4  4 12  8 12  8
 0  0  0  0 12  0  4  4 12  4  0  4  4  8  4  0  8 12  8  8 12  0 12  4  8  0  4 12  0 12 12  8  0  8  8
 0  0  0  0  0  8  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+128x^28+64x^29+488x^30+420x^31+1150x^32+1704x^33+2850x^34+2780x^35+2847x^36+1744x^37+1186x^38+380x^39+415x^40+72x^41+104x^42+4x^43+33x^44+10x^46+2x^48+2x^50

The gray image is a code over GF(2) with n=280, k=14 and d=112.
This code was found by Heurico 1.16 in 2.6 seconds.