The generator matrix

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

generates a code of length 40 over Z5[X]/(X^2) who�s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+280x^154+456x^155+520x^156+440x^159+216x^160+160x^161+80x^164+432x^165+320x^166+200x^169+8x^170+8x^175+4x^180

The gray image is a linear code over GF(5) with n=200, k=5 and d=154.
This code was found by Heurico 1.16 in 0.0166 seconds.