The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  2  2  4  0  4  8  1  2  4  2  1  4  4  4  1
 0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4  0  8 12  4 12  4  4  4  0  8  8  0  8  0 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+2x^34+50x^35+3x^36+1x^38+6x^39+1x^42

The gray image is a code over GF(2) with n=280, k=6 and d=136.
This code was found by Heurico 1.16 in 0.0143 seconds.