The generator matrix

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

generates a code of length 85 over Z5[X]/(X^2) who´s minimum homogenous weight is 318.

Homogenous weight enumerator: w(x)=1x^0+900x^318+1120x^319+1212x^320+600x^321+2180x^322+4980x^323+5060x^324+3664x^325+1660x^326+5980x^327+11980x^328+10620x^329+6748x^330+3960x^331+11200x^332+20200x^333+16760x^334+9248x^335+5180x^336+15860x^337+24580x^338+22020x^339+11548x^340+6340x^341+18280x^342+29540x^343+23380x^344+11864x^345+5380x^346+15320x^347+23520x^348+16720x^349+7744x^350+3560x^351+7440x^352+10080x^353+5940x^354+3204x^355+800x^356+1240x^357+1720x^358+880x^359+332x^360+20x^361+36x^365+8x^370+12x^380+4x^385

The gray image is a linear code over GF(5) with n=425, k=8 and d=318.
This code was found by Heurico 1.16 in 347 seconds.