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

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+2060x^324+1020x^325+8660x^329+2204x^330+12080x^334+3056x^335+12120x^339+3216x^340+12520x^344+2984x^345+10260x^349+2008x^350+4160x^354+1036x^355+640x^359+64x^360+4x^365+16x^370+16x^375

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 70.9 seconds.