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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+340x^117+18x^118+270x^119+654x^120+108x^121+648x^122+906x^123+702x^124+1134x^125+744x^126+144x^127+378x^128+156x^129+180x^132+108x^135+36x^138+30x^141+2x^144+2x^162

The gray image is a code over GF(3) with n=558, k=8 and d=351.
This code was found by Heurico 1.16 in 0.312 seconds.