The generator matrix

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

generates a code of length 34 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+31x^32+448x^34+31x^36+1x^68

The gray image is a code over GF(2) with n=272, k=9 and d=128.
This code was found by Heurico 1.16 in 0.0208 seconds.