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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+248x^108+162x^114+908x^117+4374x^118+648x^120+120x^126+84x^135+14x^144+2x^171

The gray image is a code over GF(3) with n=531, k=8 and d=324.
This code was found by Heurico 1.16 in 6.52 seconds.