The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  0  3  6

generates a code of length 18 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+78x^36+2x^54

The gray image is a code over GF(3) with n=54, k=4 and d=36.
This code was found by Heurico 1.16 in 0.000718 seconds.