The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+568x^190+1220x^191+380x^192+100x^193+340x^194+1328x^195+1920x^196+960x^197+220x^198+300x^199+952x^200+1660x^201+520x^202+60x^203+180x^204+1088x^205+1440x^206+560x^207+120x^208+180x^209+664x^210+760x^211+80x^212+12x^215+8x^220+4x^225

The gray image is a linear code over GF(5) with n=250, k=6 and d=190.
This code was found by Heurico 1.16 in 0.282 seconds.