The generator matrix

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

generates a code of length 92 over Z5[X]/(X^2) who´s minimum homogenous weight is 361.

Homogenous weight enumerator: w(x)=1x^0+60x^361+60x^362+720x^363+52x^365+320x^366+340x^367+880x^368+44x^370+20x^371+80x^372+240x^373+8x^375+60x^376+40x^381+160x^383+16x^385+20x^387+4x^395

The gray image is a linear code over GF(5) with n=460, k=5 and d=361.
This code was found by Heurico 1.16 in 424 seconds.