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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+8x^54+210x^56+18x^57+6x^65

The gray image is a code over GF(3) with n=252, k=5 and d=162.
This code was found by Heurico 1.16 in 0.00401 seconds.