The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1 21 24  1  1  1  9  1  1  1 12  1  1  1  6
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19 20 23  1  1  9 16  8  1 12 13 11  1  6 10  5  1
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9  0  9  9  0 18 18  9  0 18 18  9  0 18 18

generates a code of length 36 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+648x^69+882x^72+648x^75+8x^81

The gray image is a code over GF(3) with n=324, k=7 and d=207.
This code was found by Heurico 1.16 in 0.0174 seconds.