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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+138x^117+162x^118+18x^120+324x^121+18x^123+64x^126+2x^135+2x^153

The gray image is a code over GF(3) with n=540, k=6 and d=351.
This code was found by Heurico 1.16 in 0.247 seconds.