The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  0  9  3  3 18
 0  3 24  9 21  6 18 12 15  0 21  9 12 24  6 18  3 15 21 12 24  6  3  3  3 15  3

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

Homogenous weight enumerator: w(x)=1x^0+236x^54+6x^63

The gray image is a code over GF(3) with n=243, k=5 and d=162.
This code was found by Heurico 1.16 in 0.00355 seconds.