The generator matrix

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

generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 325.

Homogenous weight enumerator: w(x)=1x^0+208x^325+80x^326+740x^329+424x^330+1020x^331+2760x^334+396x^335+3180x^336+4780x^339+400x^340+5460x^341+6920x^344+404x^345+8160x^346+8520x^349+288x^350+10980x^351+8180x^354+212x^355+6640x^356+4760x^359+144x^360+1980x^361+840x^364+136x^365+148x^370+80x^375+104x^380+80x^385+44x^390+48x^395+8x^400

The gray image is a linear code over GF(5) with n=435, k=7 and d=325.
This code was found by Heurico 1.16 in 16.2 seconds.