The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1 18  1  3 15  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1  1  1 21  1  1 24  1 12 24  1 18  1  1  1 18 12  1  1  1  1 18  1  1  1  1 12  1  1 18  1  3
 0  1  1 26 21 20  1 24 23  1 16  4  0  1 24 25  1  2  1  1 17 22 21  1 14 16 20 18  4 20 23  3  1  5  1  9  2  1 16 10  1 21  1  1 15  1 24 12  8  1  1  0 15 11  6  1 16  9  6  3  1  3 10  1  9  9
 0  0 24  0 18 18 18  0 18 18 15 24  6 24  6 21  3  3 12 12 12 21 15  3 12 18 15 21  0  9  3 21  0 15  6  0  3  6 21  9 15 18 12 18 12 12  3  9  6 24 15 12  0 18 24 21  9 21  6  3  0  6 12  3  0  3
 0  0  0  9  9  0 18 18 18  9 18  9 18  9  0 18  9 18  0 18  0  9  9  0  9  9 18 18 18  9 18  9  9  9 18  9  9 18  9 18  9 18  9 18  9 18 18  0  9 18  0 18  9 18 18  9  9  0  9  0  0  9 18 18 18 18

generates a code of length 66 over Z27 who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+264x^124+480x^125+496x^126+1044x^127+1662x^128+1028x^129+1674x^130+2562x^131+1554x^132+2112x^133+2196x^134+1126x^135+1314x^136+1056x^137+348x^138+288x^139+222x^140+40x^141+54x^142+42x^143+18x^144+36x^145+18x^146+18x^148+24x^149+4x^156+2x^159

The gray image is a code over GF(3) with n=594, k=9 and d=372.
This code was found by Heurico 1.16 in 1.21 seconds.