The generator matrix

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

generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 335.

Homogenous weight enumerator: w(x)=1x^0+216x^335+700x^336+400x^337+840x^338+760x^340+980x^341+540x^342+1260x^343+584x^345+1200x^346+460x^347+860x^348+532x^350+780x^351+480x^352+1260x^353+764x^355+560x^356+500x^357+660x^358+184x^360+640x^361+120x^362+120x^363+36x^365+140x^366+4x^370+16x^375+8x^385+12x^390+4x^400+4x^405

The gray image is a linear code over GF(5) with n=435, k=6 and d=335.
This code was found by Heurico 1.16 in 0.719 seconds.