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

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

Homogenous weight enumerator: w(x)=1x^0+246x^108+324x^110+198x^111+486x^112+648x^113+126x^114+102x^117+54x^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 0.0745 seconds.