The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+296x^180+40x^182+100x^183+520x^184+844x^185+1040x^187+760x^188+1900x^189+1492x^190+2440x^192+1560x^193+3900x^194+2852x^195+7040x^197+3760x^198+7700x^199+4212x^200+9240x^202+4260x^203+7700x^204+3672x^205+5200x^207+2060x^208+3280x^209+1580x^210+300x^215+148x^220+132x^225+72x^230+16x^235+8x^240

The gray image is a linear code over GF(5) with n=250, k=7 and d=180.
This code was found by Heurico 1.16 in 8.96 seconds.