The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+560x^185+960x^186+260x^187+320x^188+1520x^189+3384x^190+3080x^191+1280x^192+780x^193+2900x^194+6152x^195+4620x^196+1680x^197+1340x^198+3780x^199+6968x^200+6560x^201+2480x^202+1700x^203+4660x^204+7692x^205+5400x^206+1580x^207+860x^208+2140x^209+3276x^210+1880x^211+220x^212+32x^215+28x^220+16x^225+8x^230+4x^235+4x^240

The gray image is a linear code over GF(5) with n=250, k=7 and d=185.
This code was found by Heurico 1.16 in 7.38 seconds.