The generator matrix

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

generates a code of length 85 over Z5[X]/(X^2) who´s minimum homogenous weight is 324.

Homogenous weight enumerator: w(x)=1x^0+1800x^324+856x^325+2060x^326+4580x^329+2164x^330+3600x^331+7040x^334+3080x^335+5580x^336+7960x^339+3420x^340+4980x^341+7040x^344+3152x^345+4680x^346+5720x^349+2104x^350+3020x^351+2820x^354+788x^355+1080x^356+540x^359+16x^360+16x^365+24x^370+4x^380

The gray image is a linear code over GF(5) with n=425, k=7 and d=324.
This code was found by Heurico 1.16 in 875 seconds.