The generator matrix

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

generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 341.

Homogenous weight enumerator: w(x)=1x^0+60x^341+120x^342+720x^343+48x^345+320x^346+280x^347+880x^348+44x^350+20x^351+240x^353+8x^355+60x^356+80x^357+16x^360+40x^361+20x^362+160x^363+4x^365+4x^370

The gray image is a linear code over GF(5) with n=435, k=5 and d=341.
This code was found by Heurico 1.16 in 21.5 seconds.