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

generates a code of length 97 over Z5[X]/(X^2) who´s minimum homogenous weight is 375.

Homogenous weight enumerator: w(x)=1x^0+1340x^375+3464x^380+3416x^385+2532x^390+2252x^395+2092x^400+484x^405+20x^410+4x^415+4x^425+4x^430+4x^445+4x^450+4x^455

The gray image is a linear code over GF(5) with n=485, k=6 and d=375.
This code was found by Heurico 1.16 in 0.856 seconds.