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

generates a code of length 71 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+88x^138+72x^140+156x^141+1620x^142+72x^143+98x^144+18x^146+56x^147+4x^150+2x^213

The gray image is a code over GF(3) with n=639, k=7 and d=414.
This code was found by Heurico 1.16 in 0.197 seconds.