The generator matrix

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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+700x^161+700x^162+440x^163+660x^164+2068x^165+4900x^166+3700x^167+3520x^168+3600x^169+6904x^170+13540x^171+9540x^172+8980x^173+8340x^174+14484x^175+26600x^176+18240x^177+17540x^178+15780x^179+25808x^180+40460x^181+24540x^182+21700x^183+15720x^184+23380x^185+31420x^186+15340x^187+10320x^188+5900x^189+5368x^190+7380x^191+2940x^192+56x^195+40x^200+12x^205+4x^215

The gray image is a linear code over GF(5) with n=225, k=8 and d=161.
This code was found by Heurico 1.16 in 148 seconds.