The generator matrix

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

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+104x^135+80x^138+360x^139+388x^140+260x^142+820x^143+2100x^144+436x^145+960x^147+2920x^148+4800x^149+400x^150+3060x^152+6520x^153+11400x^154+404x^155+4960x^157+9520x^158+12600x^159+364x^160+3260x^162+5140x^163+6240x^164+420x^165+304x^170+184x^175+76x^180+32x^185+12x^190

The gray image is a linear code over GF(5) with n=195, k=7 and d=135.
This code was found by Heurico 1.16 in 6.41 seconds.