The generator matrix

 1  0  1  1  1  1  1 18  1  1  1 21 15  1  1  1 24  1  1  1  3 21 21  1  0
 0  1  1 26 21 20 16  1 26 24  4  1  1 20  0 19  1 22  4 18  1  1  1 15  1
 0  0 24  0 18 18 15  3 24  0 15 15  3 24 15  9 15  3 18 12  3  9  0 12 24
 0  0  0  9  9  0 18  9  9 18  9  9  0 18  0 18 18  0  9 18  0  9 18  0  0

generates a code of length 25 over Z27 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+342x^44+368x^45+918x^46+1080x^47+1848x^48+3672x^49+2394x^50+3378x^51+3672x^52+1332x^53+394x^54+162x^56+78x^57+36x^59+6x^60+2x^63

The gray image is a code over GF(3) with n=225, k=9 and d=132.
This code was found by Heurico 1.16 in 1.49 seconds.