The generator matrix

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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+224x^160+80x^162+600x^164+912x^165+260x^166+280x^167+2040x^169+1508x^170+960x^171+1480x^172+5940x^174+2788x^175+3060x^176+3580x^177+12940x^179+4152x^180+4960x^181+4380x^182+12640x^184+3820x^185+3260x^186+2700x^187+3340x^189+1604x^190+268x^195+156x^200+148x^205+36x^210+4x^215+4x^220

The gray image is a linear code over GF(5) with n=225, k=7 and d=160.
This code was found by Heurico 1.16 in 7.71 seconds.