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

generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 354.

Homogenous weight enumerator: w(x)=1x^0+2200x^354+740x^355+3760x^359+840x^360+2400x^364+620x^365+1640x^369+400x^370+1280x^374+204x^375+920x^379+320x^380+300x^384

The gray image is a linear code over GF(5) with n=455, k=6 and d=354.
This code was found by Heurico 1.16 in 125 seconds.