The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^28+322x^29+809x^30+986x^31+2133x^32+3224x^33+5970x^34+5756x^35+5822x^36+3302x^37+2291x^38+962x^39+626x^40+252x^41+137x^42+40x^43+26x^44+4x^45+8x^46+1x^50

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 8.17 seconds.