The generator matrix

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

generates a code of length 24 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+34x^36+48x^37+90x^39+216x^40+162x^42+528x^43+486x^44+394x^45+2466x^46+1944x^47+5130x^48+4344x^49+1944x^50+546x^51+876x^52+102x^54+240x^55+48x^57+30x^58+30x^60+18x^63+6x^66

The gray image is a code over GF(3) with n=216, k=9 and d=108.
This code was found by Heurico 1.16 in 0.58 seconds.