The generator matrix

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

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+612x^150+280x^151+260x^152+920x^153+360x^154+1768x^155+700x^156+780x^157+1380x^158+240x^159+1512x^160+760x^161+460x^162+880x^163+240x^164+1456x^165+760x^166+500x^167+820x^168+160x^169+760x^170+16x^175

The gray image is a linear code over GF(5) with n=200, k=6 and d=150.
This code was found by Heurico 1.16 in 0.22 seconds.