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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+144x^118+156x^119+206x^120+342x^121+558x^122+336x^123+264x^124+54x^125+20x^126+36x^127+24x^128+2x^129+18x^130+18x^131+6x^133+2x^174

The gray image is a code over GF(3) with n=549, k=7 and d=354.
This code was found by Heurico 1.16 in 0.0929 seconds.