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

generates a code of length 92 over Z5[X]/(X^2) who´s minimum homogenous weight is 357.

Homogenous weight enumerator: w(x)=1x^0+1140x^357+560x^358+380x^359+540x^360+2700x^362+720x^363+640x^364+416x^365+1960x^367+760x^368+520x^369+180x^370+1060x^372+400x^373+120x^374+152x^375+1020x^377+280x^378+140x^379+256x^380+800x^382+240x^383+200x^384+64x^385+320x^387+40x^388+16x^390

The gray image is a linear code over GF(5) with n=460, k=6 and d=357.
This code was found by Heurico 1.16 in 0.64 seconds.