The generator matrix

 1  0  1  1  1  6  1  1 12  1 14  1  1  8  1  2  1  1  1  1  1 10  1  1 14  1  1  1  4  1  1  1  2  1  1
 0  1 11  6 13  1  0  7  1 14  1  5  3  1  4  1  1 10  9  2 11  1  0  9  1  7  8  9  1  6 14  8  4  8  0
 0  0 12  0  4  0 12 12  8  4  4  0  0  4  4 12 12  8  0 12  4  8  8  0 12 12  4  0  4  0 12 12 12  4  0
 0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  8  0  0  8  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  0  0  8  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+70x^28+72x^29+223x^30+280x^31+1133x^32+2002x^33+2694x^34+3514x^35+2668x^36+1974x^37+1106x^38+278x^39+208x^40+46x^41+64x^42+22x^43+14x^44+2x^45+7x^46+2x^47+2x^48+2x^50

The gray image is a code over GF(2) with n=280, k=14 and d=112.
This code was found by Heurico 1.16 in 1.52 seconds.