The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^29+380x^30+616x^31+1268x^32+1632x^33+2776x^34+2960x^35+2652x^36+1640x^37+1192x^38+532x^39+394x^40+144x^41+32x^42+16x^43+4x^44+6x^45+4x^46+4x^47+1x^48

The gray image is a code over GF(2) with n=280, k=14 and d=116.
This code was found by Heurico 1.16 in 2.14 seconds.