The generator matrix

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

generates a code of length 48 over Z5[X]/(X^2) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+560x^173+1080x^174+620x^175+520x^176+3120x^177+5060x^178+5160x^179+3080x^180+2540x^181+8380x^182+11740x^183+10920x^184+7808x^185+6840x^186+19380x^187+25320x^188+20060x^189+14504x^190+11040x^191+31380x^192+34100x^193+27500x^194+17952x^195+12140x^196+29980x^197+27720x^198+18860x^199+8476x^200+4420x^201+7760x^202+8000x^203+3920x^204+600x^205+32x^210+36x^215+8x^220+8x^225

The gray image is a linear code over GF(5) with n=240, k=8 and d=173.
This code was found by Heurico 1.16 in 160 seconds.