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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+58x^117+162x^118+6x^120+6x^123+8x^126+2x^153

The gray image is a code over GF(3) with n=531, k=5 and d=351.
This code was found by Heurico 1.16 in 0.0599 seconds.