The generator matrix

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

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+392x^145+240x^146+140x^147+200x^148+440x^149+1644x^150+1100x^151+960x^152+300x^153+680x^154+1556x^155+1280x^156+660x^157+200x^158+520x^159+1408x^160+1180x^161+740x^162+300x^163+360x^164+1100x^165+200x^166+20x^170+4x^175

The gray image is a linear code over GF(5) with n=195, k=6 and d=145.
This code was found by Heurico 1.16 in 0.215 seconds.