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

generates a code of length 90 over Z5[X]/(X^2) who´s minimum homogenous weight is 346.

Homogenous weight enumerator: w(x)=1x^0+180x^346+840x^347+156x^350+1040x^351+1860x^352+164x^355+1340x^356+2280x^357+124x^360+720x^361+1800x^362+76x^365+700x^366+2120x^367+40x^370+800x^371+900x^372+16x^375+220x^376+200x^377+12x^385+12x^390+8x^395+4x^405+12x^410

The gray image is a linear code over GF(5) with n=450, k=6 and d=346.
This code was found by Heurico 1.16 in 4.17 seconds.