The generator matrix

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

generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 370.

Homogenous weight enumerator: w(x)=1x^0+328x^370+180x^371+440x^372+900x^375+220x^376+480x^377+232x^380+40x^381+40x^385+40x^386+88x^390+20x^391+80x^392+28x^395+8x^400

The gray image is a linear code over GF(5) with n=470, k=5 and d=370.
This code was found by Heurico 1.16 in 0.157 seconds.