The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 12  2  0  2 12  2  2  2  8  2  4  2  8  2  1
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  6  2 10  2  6  2 10  2  0 12 14  2  2  2 14  2  0 12
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  8  8  8  0  0  0  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+13x^32+72x^33+78x^34+80x^35+1x^36+8x^37+1x^38+1x^44+1x^46

The gray image is a code over GF(2) with n=272, k=8 and d=128.
This code was found by Heurico 1.16 in 0.0182 seconds.