The generator matrix

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

generates a code of length 27 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+98x^45+90x^46+144x^47+538x^48+216x^49+1296x^50+626x^51+1770x^52+4218x^53+1014x^54+3342x^55+4206x^56+856x^57+306x^58+252x^59+398x^60+102x^61+84x^62+100x^63+6x^64+6x^65+10x^66+2x^69+2x^72

The gray image is a code over GF(3) with n=243, k=9 and d=135.
This code was found by Heurico 1.16 in 0.704 seconds.