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

generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 381.

Homogenous weight enumerator: w(x)=1x^0+960x^381+840x^382+540x^383+620x^384+12x^385+2120x^386+1320x^387+520x^388+560x^389+36x^390+1300x^391+920x^392+240x^393+300x^394+56x^395+940x^396+520x^397+380x^398+180x^399+840x^401+420x^402+180x^403+200x^404+12x^405+540x^406+280x^407+100x^408+140x^409+4x^410+300x^411+200x^412+40x^413+4x^430

The gray image is a linear code over GF(5) with n=490, k=6 and d=381.
This code was found by Heurico 1.16 in 0.713 seconds.