The generator matrix

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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+1564x^190+940x^191+620x^192+1200x^193+360x^194+4476x^195+3080x^196+1860x^197+2620x^198+620x^199+6992x^200+5020x^201+2680x^202+2940x^203+480x^204+9160x^205+5860x^206+2800x^207+3960x^208+740x^209+8020x^210+4200x^211+1820x^212+1780x^213+300x^214+2800x^215+900x^216+220x^217+48x^220+36x^225+24x^230+4x^235

The gray image is a linear code over GF(5) with n=255, k=7 and d=190.
This code was found by Heurico 1.16 in 376 seconds.