The generator matrix

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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+56x^120+6x^122+4x^123+6x^125+6x^128+2x^129

The gray image is a code over GF(3) with n=540, k=4 and d=360.
This code was found by Heurico 1.16 in 0.064 seconds.