The generator matrix

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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+100x^166+520x^169+608x^170+680x^171+960x^174+964x^175+1060x^176+1200x^179+2216x^180+1640x^181+1640x^184+1696x^185+1320x^186+680x^189+28x^190+200x^191+56x^195+24x^200+12x^205+12x^210+4x^220+4x^225

The gray image is a linear code over GF(5) with n=225, k=6 and d=166.
This code was found by Heurico 1.16 in 27.4 seconds.