The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3  3
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9  9  9 18 18  9 18  0  0
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0 18  9  0  9  0 18  9  0

generates a code of length 23 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+54x^45+162x^46+18x^48+8x^54

The gray image is a code over GF(3) with n=207, k=5 and d=135.
This code was found by Heurico 1.16 in 0.003 seconds.