The generator matrix

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

generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 350.

Homogenous weight enumerator: w(x)=1x^0+208x^350+920x^351+636x^355+2780x^356+660x^360+2700x^361+584x^365+2340x^366+396x^370+1880x^371+508x^375+1500x^376+76x^380+380x^381+16x^385+12x^390+4x^395+4x^400+8x^405+4x^410+4x^415+4x^425

The gray image is a linear code over GF(5) with n=455, k=6 and d=350.
This code was found by Heurico 1.16 in 0.774 seconds.