The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  0  1  1  1  1  1  1 12  1  3  3  1
 0  1  1 26  0 25 17  1 18  1 25 23  1 20 19 24 26  2  6  1 10 18  1  0
 0  0 24  0  9  3 21  3 21  6 12 18 21 12  9 21 15 24 21 15  9 24  0  6
 0  0  0  3 15  9 15 15  9  0  6 15 21  3  6 12 15 21  6 24 21 21 21  0

generates a code of length 24 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+198x^40+186x^41+970x^42+1164x^43+2142x^44+3860x^45+6498x^46+6396x^47+10868x^48+12078x^49+6816x^50+5130x^51+1752x^52+450x^53+252x^54+162x^55+48x^56+58x^57+18x^58+2x^60

The gray image is a code over GF(3) with n=216, k=10 and d=120.
This code was found by Heurico 1.16 in 2.81 seconds.