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

generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 365.

Homogenous weight enumerator: w(x)=1x^0+548x^365+1480x^366+440x^367+380x^368+380x^369+968x^370+2040x^371+540x^372+400x^373+260x^374+868x^375+1440x^376+460x^377+380x^378+100x^379+444x^380+1080x^381+280x^382+160x^383+140x^384+228x^385+660x^386+160x^387+140x^388+80x^389+344x^390+600x^391+60x^392+40x^393+40x^394+212x^395+200x^396+60x^397+4x^405+4x^410+4x^415

The gray image is a linear code over GF(5) with n=470, k=6 and d=365.
This code was found by Heurico 1.16 in 0.664 seconds.