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

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

Homogenous weight enumerator: w(x)=1x^0+486x^126+982x^129+216x^131+1788x^132+1782x^134+3718x^135+1458x^136+3564x^137+3598x^138+270x^140+648x^141+558x^144+376x^147+156x^150+66x^153+12x^156+2x^162+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 2.35 seconds.