The generator matrix

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

generates a code of length 86 over Z5[X]/(X^2) who´s minimum homogenous weight is 333.

Homogenous weight enumerator: w(x)=1x^0+1000x^333+620x^334+660x^335+460x^336+140x^337+1820x^338+960x^339+964x^340+400x^341+140x^342+1560x^343+740x^344+492x^345+260x^346+120x^347+1120x^348+460x^349+484x^350+140x^351+80x^352+640x^353+420x^354+328x^355+140x^356+20x^357+620x^358+300x^359+196x^360+100x^361+240x^363

The gray image is a linear code over GF(5) with n=430, k=6 and d=333.
This code was found by Heurico 1.16 in 3.1 seconds.