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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+14x^108+54x^110+34x^111+486x^112+108x^113+18x^114+12x^117+2x^165

The gray image is a code over GF(3) with n=504, k=6 and d=324.
This code was found by Heurico 1.16 in 0.0536 seconds.