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

generates a code of length 30 over Z27 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+48x^59+174x^60+8x^63+6x^66+6x^68

The gray image is a code over GF(3) with n=270, k=5 and d=177.
This code was found by Heurico 1.16 in 0.00511 seconds.