The generator matrix

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

generates a code of length 85 over Z5[X]/(X^2) who´s minimum homogenous weight is 327.

Homogenous weight enumerator: w(x)=1x^0+520x^327+840x^328+172x^330+1540x^332+1600x^333+164x^335+1600x^337+1600x^338+92x^340+1500x^342+1360x^343+96x^345+1500x^347+1420x^348+24x^350+780x^352+640x^353+24x^355+60x^357+40x^358+12x^360+20x^365+4x^375+4x^390+12x^400

The gray image is a linear code over GF(5) with n=425, k=6 and d=327.
This code was found by Heurico 1.16 in 26.9 seconds.