The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^28+54x^29+203x^30+282x^31+571x^32+782x^33+1504x^34+1346x^35+1510x^36+834x^37+536x^38+206x^39+164x^40+58x^41+54x^42+22x^43+17x^44+5x^46+2x^50

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 0.609 seconds.