The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+100x^186+440x^188+240x^189+188x^190+940x^191+1340x^193+540x^194+148x^195+1120x^196+1740x^198+540x^199+84x^200+1000x^201+2740x^203+840x^204+72x^205+1380x^206+1240x^208+340x^209+60x^210+460x^211+20x^215+12x^220+8x^225+16x^230+8x^235+8x^245

The gray image is a linear code over GF(5) with n=250, k=6 and d=186.
This code was found by Heurico 1.16 in 0.567 seconds.