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
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0 18  0  9  9  0 18  9  9  0  9 18  0 18 18  0  9  0 18 18 18  9  9  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18  9  0 18  9 18  0  0  9  9  9  0  0 18 18  0 18  9 18  0  0  9  9  9
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9  9 18  0 18 18 18 18  9 18  9 18  9  9  9 18  0 18 18
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18 18  9  0  0 18  9  0 18  9 18  9 18  0  0 18  9  9 18  9 18  0  9  9
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  9  9  9  9 18  0  9  9  9  9  9 18  0 18  0 18 18  0

generates a code of length 45 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+268x^81+6084x^90+144x^99+62x^108+2x^135

The gray image is a code over GF(3) with n=405, k=8 and d=243.
This code was found by Heurico 1.16 in 53.5 seconds.