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  1  1  1  9  1  1
 0  3  0  9 24 21  3 15 24  9  9 15 18 12  9  6 15  0  6 12 21 15  6 24 12  0 24  3 21 21 15  3 18 18  0 18 21  3 24 12 12 15 24  9  3  6  9  0 21  6 12  6  0 18 18
 0  0  3 15  9  6  3 21 15  0  6 18 21 24  9  9 24 12 24 12  9  3 12 12  0  6  6 12  3 24  0  6  3  9 24  0 18 24 18 18  3  6 21 21  9  3 12  9 12  0  6 15  9 24 15

generates a code of length 55 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+1050x^108+972x^111+162x^117+2x^162

The gray image is a code over GF(3) with n=495, k=7 and d=324.
This code was found by Heurico 1.16 in 59.6 seconds.