The generator matrix

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

generates a code of length 40 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+384x^145+160x^146+300x^147+300x^148+2340x^149+2336x^150+1540x^151+1380x^152+840x^153+4760x^154+4852x^155+3420x^156+2460x^157+1280x^158+6680x^159+6876x^160+5900x^161+3740x^162+1720x^163+8000x^164+6824x^165+3980x^166+2120x^167+860x^168+3220x^169+1744x^170+56x^175+36x^180+12x^185+4x^190

The gray image is a linear code over GF(5) with n=200, k=7 and d=145.
This code was found by Heurico 1.16 in 5.58 seconds.