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

generates a code of length 47 over Z5[X]/(X^2) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+420x^182+620x^183+52x^185+660x^187+340x^188+60x^190+120x^192+460x^193+300x^197+80x^198+4x^200+8x^210

The gray image is a linear code over GF(5) with n=235, k=5 and d=182.
This code was found by Heurico 1.16 in 0.0229 seconds.