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

generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 340.

Homogenous weight enumerator: w(x)=1x^0+144x^340+40x^343+480x^344+1200x^345+620x^348+2020x^349+2364x^350+1200x^353+4380x^354+3604x^355+1840x^358+6320x^359+4764x^360+2940x^363+8720x^364+5528x^365+3500x^368+9240x^369+5444x^370+1820x^373+5200x^374+3400x^375+540x^378+1140x^379+1036x^380+248x^385+108x^390+104x^395+60x^400+36x^405+48x^410+20x^415+12x^420+4x^430

The gray image is a linear code over GF(5) with n=455, k=7 and d=340.
This code was found by Heurico 1.16 in 17.1 seconds.