The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  4  1  1  1  1 12  2  1 12  1  1  1  1  1  2  1  8  1  1  1  1
 0  1  1  0 11  1 14 15  1  1  2 13 15  0  1  5  5  6  5  1  1 14  0 13 10 11  4  5  2  3  4  0  9  4  0
 0  0  2  6  0  2  8  2  6  0  2  4  6  0  4 12  2 10  0  4 12  2  2  2  0  8 14 10 10  6  2  4  8  2  0
 0  0  0 12  0  0  0  0  0  0  4  8 12  4 12 12 12  8  4 12  0  8 12 12 12 12  8 12  4  8  4 12 12  0  0
 0  0  0  0 12 12  4  4  8 12  4  8  4 12  4  0  8 12  4  8  8  0  4 12  4  0 12  0  8  8 12 12 12  8  0

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

Homogenous weight enumerator: w(x)=1x^0+51x^28+172x^29+519x^30+1144x^31+2274x^32+3386x^33+5955x^34+5842x^35+5721x^36+3706x^37+2330x^38+904x^39+451x^40+158x^41+88x^42+44x^43+12x^44+2x^45+3x^46+2x^48+1x^50+2x^51

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 5.72 seconds.