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

generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+248x^145+396x^150+504x^155+404x^160+12500x^164+384x^165+304x^170+344x^175+272x^180+176x^185+76x^190+8x^195+4x^200+4x^205

The gray image is a linear code over GF(5) with n=205, k=6 and d=145.
This code was found by Heurico 1.16 in 0.627 seconds.