The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  6  1  1  1  2  1 14  1  4 14  1  1  8  1  1  1  8  0  1  2  2  1  2  1
 0  1  1  0  3  1  3  0  1  9  4  1 15  6 13  1  6  1  8  1  1  0  3  0  3 14 13  1  2 12  0  1  7 14  8
 0  0  2  0  2  8  4 10  2  4  2 10  0  8 14 12  6  0 10  2  2 12  0  2  0  2  6 14 12  8  2  4 14  6  0
 0  0  0  2  2 10 12 10 12 10  8  2 14  0  2 10  2  8  4  2 12  6 12 12  4  0  4  0 14  8 10  0  0  0  8
 0  0  0  0  4  0  8  8  8  8  8  8  8  8  8 12  4  4 12  4  4  4  0  8  4 12 12  0  0 12 12  8  0 12 12

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

Homogenous weight enumerator: w(x)=1x^0+103x^28+384x^29+960x^30+2340x^31+3893x^32+8132x^33+10117x^34+13546x^35+10207x^36+8384x^37+3932x^38+2122x^39+848x^40+358x^41+117x^42+54x^43+20x^44+4x^45+10x^46+2x^47+2x^49

The gray image is a code over GF(2) with n=280, k=16 and d=112.
This code was found by Heurico 1.16 in 21.2 seconds.