The generator matrix

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

generates a code of length 25 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+60x^39+66x^40+184x^42+288x^43+278x^45+1566x^46+1892x^48+5304x^49+3516x^51+5166x^52+352x^54+648x^55+176x^57+84x^58+60x^60+26x^63+14x^66+2x^69

The gray image is a code over GF(3) with n=225, k=9 and d=117.
This code was found by Heurico 1.16 in 0.64 seconds.