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

generates a code of length 86 over Z5[X]/(X^2) who´s minimum homogenous weight is 335.

Homogenous weight enumerator: w(x)=1x^0+208x^335+100x^336+152x^340+800x^341+84x^345+1600x^346+68x^350+48x^355+32x^360+8x^365+4x^375+8x^385+8x^390+4x^420

The gray image is a linear code over GF(5) with n=430, k=5 and d=335.
This code was found by Heurico 1.16 in 7.56 seconds.