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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+76x^108+378x^112+144x^114+648x^115+648x^118+270x^121+4x^135+18x^141

The gray image is a code over GF(3) with n=522, k=7 and d=324.
This code was found by Heurico 1.16 in 0.0945 seconds.