The generator matrix

 1  0  1  1  1  1  1  0  1  1  3  1  1  1  1  1  1 15 21  1  1  0  1  1
 0  1  1 26  7 18 17  1 21 25  1  2  3 23 19 24  1  1  1 20 16  1 23  0
 0  0 24  0  0 21 21 24 15 12  3 21  3  9 18 24 12  3  9  6 24  9  0  0
 0  0  0  9  0  9 18  0 18  9  0 18 18  0  9  9  0 18  9 18  9  9  9  9
 0  0  0  0  9  0 18  9 18 18  9  0  9  0 18  0  0 18  9  9  9 18  9  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^39+150x^40+132x^41+966x^42+438x^43+2916x^44+3598x^45+3666x^46+10668x^47+12706x^48+6414x^49+10740x^50+4858x^51+894x^52+288x^53+346x^54+96x^55+42x^56+44x^57+6x^58+8x^60+6x^63

The gray image is a code over GF(3) with n=216, k=10 and d=117.
This code was found by Heurico 1.16 in 2.79 seconds.