The generator matrix

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

generates a code of length 92 over Z5[X]/(X^2) who´s minimum homogenous weight is 345.

Homogenous weight enumerator: w(x)=1x^0+240x^345+60x^346+100x^347+240x^349+912x^350+1040x^351+1080x^352+900x^354+1480x^355+2140x^356+2440x^357+1700x^359+2060x^360+3620x^361+4180x^362+2200x^364+2456x^365+5680x^366+5580x^367+2800x^369+3436x^370+5720x^371+6480x^372+2860x^374+2812x^375+4940x^376+4200x^377+1500x^379+1320x^380+1540x^381+940x^382+300x^384+444x^385+260x^386+128x^390+84x^395+56x^400+80x^405+36x^410+48x^415+20x^420+4x^425+8x^440

The gray image is a linear code over GF(5) with n=460, k=7 and d=345.
This code was found by Heurico 1.16 in 17.5 seconds.