The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^29+158x^30+358x^31+502x^32+1138x^33+1116x^34+1534x^35+1202x^36+1018x^37+464x^38+338x^39+96x^40+78x^41+20x^42+42x^43+22x^44+8x^45+2x^46+1x^48

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 1.77 seconds.