The generator matrix

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

generates a code of length 53 over Z5[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+148x^190+20x^193+220x^194+716x^195+240x^196+420x^198+1360x^199+1528x^200+1040x^201+2120x^203+2900x^204+2264x^205+1840x^206+5920x^208+6100x^209+3148x^210+3840x^211+10020x^213+8400x^214+3700x^215+3940x^216+6500x^218+5180x^219+2776x^220+1600x^221+840x^224+820x^225+196x^230+172x^235+112x^240+28x^245+16x^250

The gray image is a linear code over GF(5) with n=265, k=7 and d=190.
This code was found by Heurico 1.16 in 9.7 seconds.