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

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+900x^337+460x^338+700x^339+408x^340+160x^341+2440x^342+1020x^343+840x^344+204x^345+160x^346+1820x^347+500x^348+520x^349+168x^350+40x^351+1000x^352+400x^353+440x^354+124x^355+100x^356+980x^357+320x^358+300x^359+144x^360+40x^361+560x^362+300x^363+200x^364+76x^365+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 2.42 seconds.