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

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+92x^355+408x^360+424x^365+404x^370+500x^372+372x^375+4000x^377+288x^380+8000x^382+256x^385+180x^390+128x^395+176x^400+88x^405+56x^410+88x^415+68x^420+36x^425+32x^430+20x^435+4x^440+4x^465

The gray image is a linear code over GF(5) with n=475, k=6 and d=355.
This code was found by Heurico 1.16 in 1.79 seconds.