The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  9  3  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21  9 12 13  8  1 18  6
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18 18  0  9 18  0

generates a code of length 24 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+256x^45+504x^46+414x^48+720x^49+180x^51+72x^52+38x^54+2x^72

The gray image is a code over GF(3) with n=216, k=7 and d=135.
This code was found by Heurico 1.16 in 0.566 seconds.