The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1 24  1  1  1 21  1  0  1  1  1 24  1  1  0  1  1  1  9 21 12  1 12  1  1  1 21  1  1  1  1 12  6  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0 16  4  1 19 21 20  1 23 24  1 16 26 19  1 23 21  0  1 16  1  4 16  0  1 21 24  1 19  4 10  1  1  1  7  1  8  1  7  1  9 12 25 26  1  1 24  8  0
 0  0  9  0  0  0 18  9 18  9  9  9  9 18  0  0  0  9  9 18  0 18  9  0 18 18 18  9  9  0  9  9  0  0  0  0  9  9 18  0 18 18 18  9 18 18  9  0  0  9  9 18  9  9  0 18  9 18 18  9  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9 18  9  0 18  9  0  0 18  0  9  9  9  0  9 18  0  9  9 18  9 18 18  9  9  0  9 18 18  9  9  0 18 18 18  0  9  9  0  9  0  0  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  0 18  0  9 18  0  9  0 18  9 18  0  0  9  9  9  0  0  9 18 18  0 18  9 18  9 18  9  0  0  0 18 18  0 18  9  9 18

generates a code of length 62 over Z27 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+174x^115+36x^116+734x^117+804x^118+288x^119+1366x^120+1410x^121+864x^122+3004x^123+2268x^124+1152x^125+2954x^126+1974x^127+576x^128+1268x^129+486x^130+122x^132+114x^133+6x^135+48x^136+8x^138+12x^139+4x^141+2x^144+4x^147+2x^153+2x^159

The gray image is a code over GF(3) with n=558, k=9 and d=345.
This code was found by Heurico 1.16 in 1.17 seconds.