The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^34+44x^35+6x^36+4x^39+1x^40+2x^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 0.012 seconds.