The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+30x^34+1x^36

The gray image is a code over GF(2) with n=264, k=5 and d=136.
This code was found by Heurico 1.16 in 0.0137 seconds.