The generator matrix

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

generates a code of length 85 over Z5[X]/(X^2) who´s minimum homogenous weight is 315.

Homogenous weight enumerator: w(x)=1x^0+88x^315+352x^320+404x^325+260x^326+484x^330+960x^331+380x^335+3060x^336+260x^340+4960x^341+240x^345+3260x^346+216x^350+168x^355+120x^360+116x^365+104x^370+56x^375+48x^380+60x^385+16x^390+4x^395+8x^400

The gray image is a linear code over GF(5) with n=425, k=6 and d=315.
This code was found by Heurico 1.16 in 1.55 seconds.