The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  0  1  1  1 24 21  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  0 26 16  4  1 21 24 20  1  1  4 21  0
 0  0  9  0  0  0 18 18  9  9  0  9 18 18 18  9  9  9  9 18 18 18 18  0  0
 0  0  0  9  0  0 18 18 18  0  9 18  0 18  0 18 18  9 18  9  0  0 18 18  0
 0  0  0  0 18  0 18  9  9 18  9  0 18  9  0 18 18  0 18  0 18 18  0  0 18
 0  0  0  0  0  9 18  0 18 18 18  9  0  0  9 18  0  9  9  9  9 18  0  0 18

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

Homogenous weight enumerator: w(x)=1x^0+36x^39+24x^40+60x^41+122x^42+204x^43+708x^44+102x^45+3858x^46+3588x^47+3016x^48+14448x^49+6744x^50+5924x^51+14538x^52+4692x^53+116x^54+408x^55+246x^56+64x^57+54x^58+56x^60+24x^63+16x^66

The gray image is a code over GF(3) with n=225, k=10 and d=117.
This code was found by Heurico 1.16 in 2.81 seconds.