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

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

Homogenous weight enumerator: w(x)=1x^0+292x^117+1728x^120+36x^123+128x^126+2x^180

The gray image is a code over GF(3) with n=540, k=7 and d=351.
This code was found by Heurico 1.16 in 77.9 seconds.