The generator matrix

 1  0  0  1  1  1  1  1  1 21  1  1 15  1  1  1  1 18 24  1  1  1  3  1  1
 0  1  0 18 21 25 26 19 20  1 16 14  1 13  3  4  5  1  1 15  6 12  1  2  4
 0  0  1 16 14  2  8 22 15 14  6 25 16 23 11 12  3 14 22  7 18 19  9  2 26

generates a code of length 25 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+674x^45+594x^46+1584x^47+3184x^48+1692x^49+3006x^50+4044x^51+1860x^52+1554x^53+1386x^54+60x^55+6x^56+20x^57+6x^58+6x^59+6x^60

The gray image is a code over GF(3) with n=225, k=9 and d=135.
This code was found by Heurico 1.16 in 0.274 seconds.