The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+520x^181+1420x^182+1100x^183+740x^184+2068x^185+5140x^186+5340x^187+4360x^188+3180x^189+6708x^190+11700x^191+12740x^192+10040x^193+8080x^194+13688x^195+22880x^196+21900x^197+18620x^198+13080x^199+23288x^200+32460x^201+27960x^202+23200x^203+14180x^204+21628x^205+27320x^206+20200x^207+11180x^208+5740x^209+5652x^210+7480x^211+5440x^212+1500x^213+24x^215+24x^220+28x^225+4x^230+12x^235

The gray image is a linear code over GF(5) with n=250, k=8 and d=181.
This code was found by Heurico 1.16 in 168 seconds.