The generator matrix

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

generates a code of length 53 over Z5[X]/(X^2) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+740x^193+1360x^194+1996x^195+760x^196+2120x^197+4240x^198+6200x^199+6944x^200+3020x^201+5920x^202+9640x^203+13580x^204+13656x^205+6540x^206+11920x^207+18680x^208+22940x^209+23852x^210+11860x^211+20520x^212+27620x^213+30900x^214+26308x^215+13180x^216+18920x^217+22520x^218+21900x^219+16772x^220+4240x^221+5600x^222+6560x^223+5620x^224+3520x^225+400x^226+28x^230+12x^235+16x^240+16x^245+4x^250

The gray image is a linear code over GF(5) with n=265, k=8 and d=193.
This code was found by Heurico 1.16 in 181 seconds.