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

generates a code of length 95 over Z5[X]/(X^2) who´s minimum homogenous weight is 355.

Homogenous weight enumerator: w(x)=1x^0+140x^355+40x^357+60x^358+564x^360+860x^362+960x^363+2040x^365+2020x^367+2300x^368+3032x^370+3540x^372+3900x^373+4584x^375+4980x^377+4860x^378+6480x^380+5340x^382+6200x^383+6148x^385+5220x^387+4900x^388+3632x^390+2460x^392+1660x^393+932x^395+540x^397+160x^398+124x^400+128x^405+116x^410+64x^415+48x^420+36x^425+32x^430+12x^435+4x^440+8x^445

The gray image is a linear code over GF(5) with n=475, k=7 and d=355.
This code was found by Heurico 1.16 in 18.2 seconds.