The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 194.

Homogenous weight enumerator: w(x)=1x^0+760x^194+240x^195+1000x^199+216x^200+220x^204+80x^205+520x^209+80x^210+8x^225

The gray image is a linear code over GF(5) with n=250, k=5 and d=194.
This code was found by Heurico 1.16 in 0.0265 seconds.