The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1  1  1  6  1  1  1  1  1  3  1  1  1  1  1  1 21  1  6 24  1  1  1  1  1  1 21 24 12  1  1  1  1  6  1 24  9  6 18  0 18  1  1  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1  5  4 24  3  1  4 22 21  6  5  1  6 16  2 26 19 19  1 25  1  1 18  6 18 16  1 19  1  1  1 24  2 23  2  1 17  1  1  1  1  1  1  9  8 17
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 18  0 15  3 24  6 12 15  3 21  3  9 18 12 15 18  3 24 24  9 21 24 21  9  6  0 12  9  6 21 18  9  6 21 15  6  0 24 18 18 21 12  3  0 24

generates a code of length 59 over Z27 who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+306x^113+728x^114+666x^115+906x^116+718x^117+540x^118+420x^119+618x^120+510x^121+522x^122+398x^123+54x^124+108x^125+30x^126+6x^127+6x^129+6x^131+6x^133+10x^135+2x^141

The gray image is a code over GF(3) with n=531, k=8 and d=339.
This code was found by Heurico 1.16 in 0.166 seconds.