The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1
 0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4 12 12 12  4  0  8  0  8  0  8 12  4  4  0  4  8  0  0
 0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0  0  0  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  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+15x^32+222x^34+16x^36+2x^50

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 0.0185 seconds.