The generator matrix

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

generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 386.

Homogenous weight enumerator: w(x)=1x^0+240x^386+680x^387+68x^390+520x^391+960x^392+36x^395+120x^396+200x^397+4x^400+60x^401+40x^402+40x^406+80x^407+20x^411+40x^412+12x^415+4x^420

The gray image is a linear code over GF(5) with n=490, k=5 and d=386.
This code was found by Heurico 1.16 in 0.181 seconds.