The generator matrix

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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 345.

Homogenous weight enumerator: w(x)=1x^0+56x^345+40x^346+20x^349+288x^350+220x^351+580x^353+780x^354+796x^355+800x^356+1780x^358+1540x^359+1448x^360+1440x^361+2900x^363+3540x^364+2256x^365+1660x^366+4700x^368+5200x^369+3012x^370+2640x^371+6300x^373+6380x^374+3776x^375+2260x^376+5020x^378+5220x^379+2592x^380+2280x^381+3020x^383+2060x^384+748x^385+940x^386+700x^388+260x^389+144x^390+220x^391+144x^395+100x^400+112x^405+60x^410+36x^415+28x^420+20x^425+4x^435+4x^440

The gray image is a linear code over GF(5) with n=465, k=7 and d=345.
This code was found by Heurico 1.16 in 17.4 seconds.