The generator matrix

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

generates a code of length 57 over Z5[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+104x^195+596x^200+876x^205+1160x^210+100x^212+1396x^215+1600x^217+1596x^220+9600x^222+1700x^225+25600x^227+1920x^230+25600x^232+1808x^235+1632x^240+1280x^245+828x^250+484x^255+172x^260+52x^265+20x^270

The gray image is a linear code over GF(5) with n=285, k=7 and d=195.
This code was found by Heurico 1.16 in 22.1 seconds.