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

generates a code of length 40 over Z5[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+152x^150+184x^155+500x^156+96x^160+2000x^161+76x^165+40x^170+28x^175+12x^180+20x^190+16x^195

The gray image is a linear code over GF(5) with n=200, k=5 and d=150.
This code was found by Heurico 1.16 in 0.0652 seconds.