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  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 15  0  9 18 18 21 21 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  0 18  0  0 18  9  0  9 18
 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  0  9  9 18 18  0  9 18  0

generates a code of length 70 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+56x^135+450x^138+972x^140+594x^141+72x^144+36x^147+4x^153+2x^207

The gray image is a code over GF(3) with n=630, k=7 and d=405.
This code was found by Heurico 1.16 in 0.188 seconds.