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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+74x^117+6x^123

The gray image is a code over GF(3) with n=522, k=4 and d=351.
This code was found by Heurico 1.16 in 0.0562 seconds.