The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  1  0  1  1  1  1  1  0  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16 20  0  4 20 19  1 21 24 16  0  4  1  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  9  9 18 18  0  0  0 18  9 18 18  9  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9 18  9 18  9  0  9  0  9  0 18 18  9  0
 0  0  0  0 18 18  0 18 18  9 18 18  9  0  0  9  9  9  9  9  0  9  9  9  9 18  9

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

Homogenous weight enumerator: w(x)=1x^0+18x^45+18x^46+126x^47+332x^48+144x^49+888x^50+1422x^51+1890x^52+3018x^53+2796x^54+3492x^55+2988x^56+1902x^57+288x^58+228x^59+48x^60+42x^62+20x^63+16x^66+4x^69+2x^78

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 0.38 seconds.