The generator matrix

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

generates a code of length 92 over Z5[X]/(X^2) who´s minimum homogenous weight is 362.

Homogenous weight enumerator: w(x)=1x^0+300x^362+540x^363+52x^365+860x^367+660x^368+48x^370+200x^372+180x^373+40x^377+4x^380+80x^382+120x^383+12x^385+20x^387+8x^390

The gray image is a linear code over GF(5) with n=460, k=5 and d=362.
This code was found by Heurico 1.16 in 26.7 seconds.