The generator matrix

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

generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 337.

Homogenous weight enumerator: w(x)=1x^0+860x^337+920x^338+380x^339+208x^340+280x^341+2060x^342+1700x^343+360x^344+128x^345+320x^346+1580x^347+960x^348+260x^349+104x^350+260x^351+920x^352+820x^353+260x^354+52x^355+40x^356+780x^357+580x^358+160x^359+84x^360+60x^361+500x^362+520x^363+80x^364+48x^365+40x^366+300x^367

The gray image is a linear code over GF(5) with n=435, k=6 and d=337.
This code was found by Heurico 1.16 in 0.754 seconds.