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

generates a code of length 80 over Z5[X]/(X^2) who´s minimum homogenous weight is 295.

Homogenous weight enumerator: w(x)=1x^0+80x^295+360x^300+460x^305+388x^310+328x^315+2500x^316+280x^320+10000x^321+312x^325+204x^330+188x^335+144x^340+116x^345+108x^350+56x^355+44x^360+28x^365+20x^370+4x^375+4x^395

The gray image is a linear code over GF(5) with n=400, k=6 and d=295.
This code was found by Heurico 1.16 in 1.43 seconds.