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

generates a code of length 79 over Z5[X]/(X^2) who´s minimum homogenous weight is 295.

Homogenous weight enumerator: w(x)=1x^0+328x^295+432x^300+380x^305+500x^308+452x^310+4000x^313+304x^315+8000x^318+284x^320+236x^325+200x^330+128x^335+96x^340+84x^345+56x^350+80x^355+36x^360+20x^365+4x^370+4x^385

The gray image is a linear code over GF(5) with n=395, k=6 and d=295.
This code was found by Heurico 1.16 in 88.2 seconds.