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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+366x^138+234x^141+110x^144+12x^147+4x^153+2x^171

The gray image is a code over GF(3) with n=630, k=6 and d=414.
This code was found by Heurico 1.16 in 0.21 seconds.