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

generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 355.

Homogenous weight enumerator: w(x)=1x^0+168x^355+704x^360+2100x^365+36x^370+64x^375+4x^380+12x^385+16x^390+12x^400+4x^405+4x^450

The gray image is a linear code over GF(5) with n=455, k=5 and d=355.
This code was found by Heurico 1.16 in 0.227 seconds.