The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  1  1  0  6  1  1  1  1  1  1  1  1  8  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 10 15  9  1  1  8 14  4  2  8 14  4  2  0  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  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+256x^33+30x^34+128x^35+64x^37+2x^50

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 0.013 seconds.