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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+10x^114+36x^115+108x^116+24x^117+258x^118+96x^119+990x^120+480x^121+54x^122+12x^123+18x^124+36x^125+8x^126+12x^127+30x^128+6x^129+6x^130+2x^177

The gray image is a code over GF(3) with n=540, k=7 and d=342.
This code was found by Heurico 1.16 in 0.113 seconds.