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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+20x^132+12x^133+24x^134+60x^135+78x^136+84x^137+1718x^138+36x^139+36x^140+34x^141+24x^142+12x^143+18x^144+12x^145+6x^146+10x^147+2x^207

The gray image is a code over GF(3) with n=621, k=7 and d=396.
This code was found by Heurico 1.16 in 0.178 seconds.