The generator matrix

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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+66x^56+4x^57+6x^59+2x^63+2x^66

The gray image is a code over GF(3) with n=252, k=4 and d=168.
This code was found by Heurico 1.16 in 0.00441 seconds.