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

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

Homogenous weight enumerator: w(x)=1x^0+98x^132+36x^133+216x^134+166x^135+1080x^136+432x^137+68x^138+46x^141+18x^142+22x^144+2x^147+2x^201

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 0.17 seconds.