The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1  1 21  1  1  1  1  1 24 21  1  1  0  1  1  1 21  1 24  9  1  1  6 12  1  1 12  1  1  1  1  1  1  1  1  1  1  3 15  6  1  1  1  0
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24 23  1 19 20  4 21 20  1  1 26 16  1  4  0 19  1 20  1  1 23 26  1  1 21 24  1  0  9 12 23 11  5  5 20 24 23  1  1  1  2 16  8  1
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  0  9  0  9 18  9  9  0  9 18  9  0  0 18  9 18  0  9 18 18  0  9 18  9 18  9  0  9  0 18  9  0  0 18  0  9 18  0  0 18 18  9  9
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  0  9  9  0 18 18  9 18 18  0  9  9 18 18 18  9 18  9  0  9  0  0  0  0  9 18 18  0  9 18 18  9 18  0  0  0  9  9 18  9  0 18 18
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  0 18  9  0  9  0  9 18 18 18  9  9 18  0  0  0  0  9  0  0 18  0  9  0  9  9 18  0  9  9 18  0 18  9 18  9 18 18  9 18 18

generates a code of length 61 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+530x^114+234x^115+108x^116+1940x^117+684x^118+648x^119+2742x^120+1404x^121+1296x^122+3960x^123+1494x^124+864x^125+2644x^126+558x^127+408x^129+80x^132+62x^135+14x^138+4x^144+2x^147+2x^150+2x^153+2x^156

The gray image is a code over GF(3) with n=549, k=9 and d=342.
This code was found by Heurico 1.16 in 64.2 seconds.