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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+444x^105+366x^108+306x^111+4374x^112+720x^114+108x^117+18x^120+126x^123+90x^126+6x^132+2x^162

The gray image is a code over GF(3) with n=504, k=8 and d=315.
This code was found by Heurico 1.16 in 88 seconds.