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

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

Homogenous weight enumerator: w(x)=1x^0+266x^105+36x^106+756x^108+216x^109+810x^110+874x^111+432x^112+1620x^113+740x^114+288x^115+178x^117+178x^120+110x^123+44x^126+10x^129+2x^153

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 0.256 seconds.