The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+38x^34+42x^35+37x^36+4x^37+1x^38+2x^39+2x^40+1x^42

The gray image is a code over GF(2) with n=280, k=7 and d=136.
This code was found by Heurico 1.16 in 0.0123 seconds.