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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+36x^139+162x^140+12x^141+18x^142+6x^144+4x^150+2x^153+2x^159

The gray image is a code over GF(3) with n=630, k=5 and d=417.
This code was found by Heurico 1.16 in 0.116 seconds.