The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  1  1  1
 0  3  0  0 21 24  3 15 24  0 18  9 21 15 12 21 15  6  9 18  3  3  0 18
 0  0  3 24  6  0  3 21 24  9 21  6 15  0  9 21 21 15  3 24 21  9  3 18
 0  0  0  9  0  0  9 18 18  0  0  9 18 18 18  0  9  9  9  0  0 18 18  0
 0  0  0  0  9  9 18 18  0 18 18 18  0  9 18  9 18  9  0  0  0  9  0 18

generates a code of length 24 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+40x^39+90x^40+270x^41+270x^42+222x^43+882x^44+402x^45+2766x^46+2016x^47+3616x^48+5238x^49+2052x^50+546x^51+300x^52+522x^53+176x^54+132x^55+90x^56+34x^57+12x^60+6x^63

The gray image is a code over GF(3) with n=216, k=9 and d=117.
This code was found by Heurico 1.16 in 0.593 seconds.