The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  0  1 18  3  1  1  1  1  1  1  1  1  1  1  9  1  1  1
 0  3  0  0  0 24 21 15  3  6 15 21 18  6  3 12 24 24 18 24 18 21 21 18  6  9 12 12  0 21 18  6 24  9 12  6 15  6 24 24 18 12  0  0  0  3 15 12 21 12  3 15  3 18  9 15  0  6 24 18  9  0  3 12  0 12  6 24
 0  0  3  0  9 18  9 18  0  0 21 15 15  6 21 15 12 24  3  6 21 21  6  6 21  6 12 15 24 12  6 15 12  9 12  9  3 15 15  9  3  9 12 18 24 12  0  9  9 15 18  0 12 15 15 24 12 18 15 18 18  0  6 12  3 24 24 24
 0  0  0  3 15  0  6  3 12 15 18 24 24  6  0  9  3 21 15 18 12  3 21 21 15 18  6 12 18  3 12  6 24 18 18  9 12 18  3  6 12 18  0  3 15  6  6 21 15  6  6 12  9 12 12 21  6 21 12 24 12  6  0 24  3  0 15  0

generates a code of length 68 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+422x^126+1050x^129+90x^130+108x^131+1686x^132+216x^133+1944x^134+3092x^135+2214x^136+3564x^137+2820x^138+396x^139+216x^140+702x^141+482x^144+408x^147+222x^150+42x^153+6x^156+2x^189

The gray image is a code over GF(3) with n=612, k=9 and d=378.
This code was found by Heurico 1.16 in 8.22 seconds.