The generator matrix

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

generates a code of length 40 over Z5[X]/(X^2) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+20x^146+220x^147+520x^149+164x^150+280x^151+1100x^152+940x^154+168x^155+540x^156+1680x^157+1260x^159+100x^160+1000x^161+2960x^162+1580x^164+80x^165+660x^166+1540x^167+700x^169+28x^170+16x^175+28x^180+16x^185+16x^190+8x^195

The gray image is a linear code over GF(5) with n=200, k=6 and d=146.
This code was found by Heurico 1.16 in 78.1 seconds.