The generator matrix

 1  0  1  1  1  1 18  1  1  1  1  1 21  1  3  1  1  0  1 18  1  1  1  9 24  1  1
 0  1  1 26  7 18  1 17 25 21 20 19  1 23  1  3 15  1  1  1 17 16 23  1  1  3  0
 0  0 24  0  0 21 21 21  3 15  6 18  9 15  3 21  3  6  3 21 21  6  0  9  0 12  9
 0  0  0  9  0  9 18 18  9  0  9  0  9  9  0  9  0 18  0  9 18 18  9 18  0  0  9
 0  0  0  0  9  0 18 18 18  0  9 18  0 18  9  9  9  9  0  0  9 18  9  9  9  9  0

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

Homogenous weight enumerator: w(x)=1x^0+102x^45+174x^46+228x^47+1060x^48+486x^49+2814x^50+3922x^51+4776x^52+9828x^53+10400x^54+7854x^55+9942x^56+5078x^57+1170x^58+444x^59+482x^60+120x^61+72x^62+70x^63+18x^66+6x^69+2x^72

The gray image is a code over GF(3) with n=243, k=10 and d=135.
This code was found by Heurico 1.16 in 3.23 seconds.