The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  2  1  8  2  0  2  2  1  1  2  1  2 12  1  1
 0  2  0  0  0  2  6 14  0  8 14  6 12  2 10  4  0  2 14  0 14 10  4  2  4  2  8  4  0  6 10  4  2  0  4
 0  0  2  0  2  2  2  0  4 14 10  0  8  6  8  4 14 10  4 14  0  2  2  8  4 12 14  4  8 10  6 14  2  6  4
 0  0  0  2  2  0  2 10  8  2  0 14 14 14 12  6 12  8  4  4 10 12  0 12  2  8  6 12  6  0  0  8  2  6  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  8  8  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+63x^28+408x^29+622x^30+1506x^31+1972x^32+3810x^33+4442x^34+6858x^35+4702x^36+4098x^37+1898x^38+1382x^39+482x^40+310x^41+134x^42+46x^43+11x^44+14x^45+8x^46+1x^48

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 7.92 seconds.