The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  2  2  1  1  1  1  2  1  1  1  1  2  0  2  4  8  2  4
 0 12  0  4  0  0  4 12  0  0  4 12  0  4  8  0 12  8  4 12  8  8  8  8  0 12  4 12  4 12  4  8  4  4  4 12
 0  0 12  4  0 12  4  0  8  4 12  8  8 12  4  4  8  4  4  4  8  4  8 12  8 12  8  4  8  8  8  8  4 12  0  0
 0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0

generates a code of length 36 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+182x^34+184x^36+118x^38+6x^40+18x^42+2x^46+1x^48

The gray image is a code over GF(2) with n=288, k=9 and d=136.
This code was found by Heurico 1.16 in 59.2 seconds.