The generator matrix

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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+1064x^132+1530x^133+1260x^134+4650x^135+4320x^136+2916x^137+5872x^138+6390x^139+3582x^140+6746x^141+5544x^142+2574x^143+5132x^144+3132x^145+1134x^146+1544x^147+954x^148+198x^149+378x^150+90x^153+36x^156+2x^159

The gray image is a code over GF(3) with n=630, k=10 and d=396.
This code was found by Heurico 1.16 in 16.2 seconds.