The generator matrix

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

generates a code of length 36 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+236x^72+4x^81+2x^90

The gray image is a code over GF(3) with n=324, k=5 and d=216.
This code was found by Heurico 1.16 in 0.0096 seconds.