The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^34+2x^36+4x^38+1x^48

The gray image is a code over GF(2) with n=272, k=6 and d=136.
This code was found by Heurico 1.16 in 0.152 seconds.