The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  1  1  X  1
 0  X  0  0  0  0  0  X 2X  X  X 3X 3X 4X 2X 2X 3X  X  0  X 4X  X  X  X 2X  X 3X  X  0  0 3X 2X  0  X  X 4X  X  X  0
 0  0  X  0  0  X  X 3X  0 4X  X  X 2X 4X 4X  0 4X 2X  0  0  X 4X 4X 2X  X 4X 4X  X 2X  X 4X 4X  X  0 3X 4X  0 4X  0
 0  0  0  X  0 3X 2X 3X  X 4X 2X 2X  0  0 2X 2X 2X 3X 3X 2X  0 4X  X 4X 2X  X  X 2X 3X  X 4X  X  0 3X 3X 4X  0 3X  X
 0  0  0  0  X 3X  X 4X 4X 3X 4X  X 3X 3X 3X  X 4X  X 2X  X 3X  0  0  0 3X 3X  X  0  X  0 2X  0 2X 3X  X 4X 4X 2X 2X

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+124x^135+336x^140+100x^144+456x^145+1200x^149+428x^150+4800x^154+392x^155+6400x^159+360x^160+432x^165+304x^170+156x^175+88x^180+36x^185+12x^190

The gray image is a linear code over GF(5) with n=195, k=6 and d=135.
This code was found by Heurico 1.16 in 0.574 seconds.