The generator matrix

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

generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+64x^150+80x^151+120x^152+760x^154+448x^155+340x^156+540x^157+1480x^159+668x^160+600x^161+460x^162+2500x^164+1108x^165+960x^166+980x^167+2520x^169+700x^170+520x^171+400x^172+240x^174+36x^175+48x^180+28x^185+8x^190+16x^195

The gray image is a linear code over GF(5) with n=205, k=6 and d=150.
This code was found by Heurico 1.16 in 0.28 seconds.