The generator matrix

 1  0  1  1  1  1  1  1 18  1  1 21  1  1  1  1  1  1  3  1 21  1  1 24  1  1  1  1  1  1 15  0  1 15  1  1  1  1  1 18 15 24  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 18 21
 0  1  1 26 18 17  0 25  1 20  4  1 21 23 24  5 15  1  1 11  1 11 24  1 22 22 26 23 12  4  1  1 16  1 21  9 25 23 20  1  1  1  5  6 15 17 19 12  3  3 13  1 15  0 17 24  3  1  1  1
 0  0 24  9 21 12  6  3  3 18  0  6  0 18 15 24 12 21 12  3  0 15  9  6 18  3 24 12 12 24  3 15  6  9  6  3  9  3  6 24 18 12  9 18 24 15  9 18 15 21  6 12 15 18 21  0  3 21 18 15

generates a code of length 60 over Z27 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+396x^115+744x^116+502x^117+834x^118+792x^119+556x^120+510x^121+582x^122+450x^123+582x^124+444x^125+18x^126+102x^127+6x^128+6x^129+12x^131+6x^134+2x^135+6x^136+2x^138+6x^140+2x^144

The gray image is a code over GF(3) with n=540, k=8 and d=345.
This code was found by Heurico 1.16 in 0.627 seconds.