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

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

Homogenous weight enumerator: w(x)=1x^0+282x^108+420x^111+972x^112+378x^114+84x^117+48x^120+2x^162

The gray image is a code over GF(3) with n=504, k=7 and d=324.
This code was found by Heurico 1.16 in 0.155 seconds.