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

generates a code of length 26 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+220x^45+546x^48+972x^50+1210x^51+1944x^53+1294x^54+258x^57+82x^60+20x^63+6x^66+4x^69+4x^72

The gray image is a code over GF(3) with n=234, k=8 and d=135.
This code was found by Heurico 1.16 in 0.113 seconds.