The generator matrix

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

generates a code of length 77 over Z5[X]/(X^2) who´s minimum homogenous weight is 295.

Homogenous weight enumerator: w(x)=1x^0+416x^295+480x^296+460x^298+1584x^300+1300x^301+660x^303+1844x^305+840x^306+440x^308+2120x^310+1080x^311+420x^313+1540x^315+820x^316+400x^318+532x^320+380x^321+120x^323+28x^325+100x^326+8x^330+16x^335+16x^340+4x^345+8x^350+4x^355+4x^370

The gray image is a linear code over GF(5) with n=385, k=6 and d=295.
This code was found by Heurico 1.16 in 0.609 seconds.