The generator matrix

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

generates a code of length 25 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+58x^36+170x^39+234x^42+230x^45+486x^46+304x^48+1944x^49+13122x^50+352x^51+1944x^52+324x^54+268x^57+160x^60+60x^63+14x^66+10x^69+2x^72

The gray image is a code over GF(3) with n=225, k=9 and d=108.
This code was found by Heurico 1.16 in 0.834 seconds.