The generator matrix

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

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+220x^345+424x^350+400x^355+400x^357+448x^360+1800x^362+332x^365+5200x^367+232x^370+5100x^372+228x^375+224x^380+156x^385+96x^390+108x^395+68x^400+92x^405+32x^410+24x^415+20x^420+4x^425+4x^430+4x^435+8x^440

The gray image is a linear code over GF(5) with n=460, k=6 and d=345.
This code was found by Heurico 1.16 in 1.72 seconds.