The generator matrix

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

generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 375.

Homogenous weight enumerator: w(x)=1x^0+1256x^375+1540x^376+480x^377+920x^378+3340x^380+4040x^381+1180x^382+1360x^383+5828x^385+5460x^386+1480x^387+2160x^388+5944x^390+6220x^391+1720x^392+2260x^393+5688x^395+5060x^396+920x^397+1680x^398+4284x^400+4560x^401+1040x^402+980x^403+2956x^405+2500x^406+440x^407+560x^408+1240x^410+620x^411+240x^412+80x^413+60x^415+12x^425+12x^430+4x^440

The gray image is a linear code over GF(5) with n=490, k=7 and d=375.
This code was found by Heurico 1.16 in 18 seconds.