The generator matrix

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

generates a code of length 95 over Z5[X]/(X^2) who´s minimum homogenous weight is 357.

Homogenous weight enumerator: w(x)=1x^0+620x^357+900x^358+1220x^359+1008x^360+2000x^361+4860x^362+3700x^363+5020x^364+2508x^365+5300x^366+9120x^367+8120x^368+8940x^369+4468x^370+8200x^371+15720x^372+13340x^373+13940x^374+7040x^375+11520x^376+21240x^377+17480x^378+18000x^379+8948x^380+12000x^381+23820x^382+19420x^383+19700x^384+8716x^385+11580x^386+20780x^387+15300x^388+13620x^389+5344x^390+8460x^391+12520x^392+7760x^393+5920x^394+2292x^395+2940x^396+3520x^397+1420x^398+1140x^399+260x^400+500x^401+300x^402+60x^403+8x^405+12x^410+8x^415+4x^425+4x^430+4x^435

The gray image is a linear code over GF(5) with n=475, k=8 and d=357.
This code was found by Heurico 1.16 in 355 seconds.