The generator matrix

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

generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 365.

Homogenous weight enumerator: w(x)=1x^0+52x^365+120x^367+436x^370+100x^371+900x^372+380x^373+1000x^375+560x^376+2420x^377+660x^378+1508x^380+1020x^381+4100x^382+1740x^383+2072x^385+2060x^386+6200x^387+2120x^388+2932x^390+3160x^391+8260x^392+3020x^393+3296x^395+2960x^396+7780x^397+2940x^398+2320x^400+2200x^401+5260x^402+1260x^403+1164x^405+440x^406+2280x^407+380x^408+348x^410+180x^412+108x^415+144x^420+52x^425+64x^430+52x^435+28x^440+24x^445+12x^450+4x^455+8x^460

The gray image is a linear code over GF(5) with n=490, k=7 and d=365.
This code was found by Heurico 1.16 in 18.5 seconds.