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  1  1  2  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 11 13  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  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+78x^34+50x^35+223x^36+108x^37+48x^38+2x^39+1x^50+1x^54

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 0.0159 seconds.