The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+227x^28+200x^29+784x^30+1076x^31+2493x^32+3436x^33+5222x^34+5856x^35+5187x^36+3584x^37+2580x^38+1044x^39+639x^40+140x^41+198x^42+24x^43+58x^44+16x^46+3x^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 8.69 seconds.