The generator matrix

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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+188x^170+128x^175+500x^176+116x^180+2000x^181+80x^185+28x^190+16x^195+28x^200+16x^205+12x^210+4x^215+8x^220

The gray image is a linear code over GF(5) with n=225, k=5 and d=170.
This code was found by Heurico 1.16 in 0.501 seconds.