The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+94x^29+176x^30+352x^31+463x^32+726x^33+1715x^34+1228x^35+1608x^36+790x^37+482x^38+312x^39+104x^40+42x^41+52x^42+28x^43+12x^45+6x^46+1x^50

The gray image is a code over GF(2) with n=280, k=13 and d=116.
This code was found by Heurico 1.16 in 1.23 seconds.