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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+140x^174+880x^175+260x^176+220x^179+524x^180+80x^181+40x^184+544x^185+160x^186+100x^189+164x^190+4x^195+8x^200

The gray image is a linear code over GF(5) with n=225, k=5 and d=174.
This code was found by Heurico 1.16 in 0.0212 seconds.