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

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+32x^150+176x^155+100x^156+144x^160+800x^161+88x^165+1600x^166+60x^170+68x^175+12x^180+4x^185+28x^195+12x^200

The gray image is a linear code over GF(5) with n=205, k=5 and d=150.
This code was found by Heurico 1.16 in 0.0326 seconds.