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

generates a code of length 68 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+42x^132+96x^133+90x^134+110x^135+1620x^136+36x^137+66x^138+36x^139+36x^140+10x^141+30x^142+12x^144+2x^204

The gray image is a code over GF(3) with n=612, k=7 and d=396.
This code was found by Heurico 1.16 in 0.131 seconds.