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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+248x^180+424x^185+416x^190+436x^195+2500x^196+356x^200+10000x^201+308x^205+280x^210+256x^215+180x^220+148x^225+44x^230+16x^235+8x^240+4x^245

The gray image is a linear code over GF(5) with n=250, k=6 and d=180.
This code was found by Heurico 1.16 in 1.07 seconds.