The generator matrix

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

generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 380.

Homogenous weight enumerator: w(x)=1x^0+768x^380+1120x^381+520x^382+1396x^385+1920x^386+580x^387+948x^390+1300x^391+460x^392+944x^395+1300x^396+440x^397+752x^400+1300x^401+320x^402+640x^405+480x^406+180x^407+116x^410+80x^411+20x^415+24x^420+8x^435+8x^460

The gray image is a linear code over GF(5) with n=490, k=6 and d=380.
This code was found by Heurico 1.16 in 9.39 seconds.