The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  3  3  3  3  1  1  1
 0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  0  9 18  0  0  9 18

generates a code of length 27 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+72x^54+6x^60+2x^63

The gray image is a code over GF(3) with n=243, k=4 and d=162.
This code was found by Heurico 1.16 in 0.00346 seconds.