The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3 24  1  1  1  1 12 18  0  1  1  1  1  6  1  1  1 21  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  1  9 24  1  1  3  1 18  1 15  1  1  1  1  1 12  1  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1  1 16 11 24 17  1  1 15 20  3 15  2  1  3 17 13  1 22  8 14 16  7 18  1  2 23 10  4  5 12 24 17  6  1  1 24 11  1  9  1  8  1 19 14 25 23 10  1  1 18 14
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 13 14 10 26 11 14 12  1 12 25  0 15 14  4 13  8 25 22 12 23 17 19 10  8  7 15 19  2 21  5 23 26  6 16 24  1 17 17  6  6 18 18  5 16 11  2  4  2  9 11 22

generates a code of length 69 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+836x^132+1248x^133+1740x^134+2296x^135+1896x^136+1722x^137+1906x^138+1560x^139+1362x^140+1336x^141+966x^142+708x^143+838x^144+624x^145+294x^146+288x^147+24x^148+6x^149+24x^150+6x^153+2x^156

The gray image is a code over GF(3) with n=621, k=9 and d=396.
This code was found by Heurico 1.16 in 0.969 seconds.