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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+746x^126+1458x^127+1572x^128+1756x^129+2844x^130+1434x^131+1628x^132+1872x^133+972x^134+1124x^135+1554x^136+864x^137+810x^138+690x^139+174x^140+158x^141+6x^142+6x^143+4x^144+2x^147+8x^150

The gray image is a code over GF(3) with n=594, k=9 and d=378.
This code was found by Heurico 1.16 in 0.939 seconds.