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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+42x^147+144x^148+108x^149+1632x^150+144x^151+54x^152+6x^153+36x^154+18x^156+2x^225

The gray image is a code over GF(3) with n=675, k=7 and d=441.
This code was found by Heurico 1.16 in 0.182 seconds.