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

generates a code of length 97 over Z5[X]/(X^2) who´s minimum homogenous weight is 365.

Homogenous weight enumerator: w(x)=1x^0+208x^365+480x^370+420x^375+380x^380+2500x^384+304x^385+10000x^389+292x^390+232x^395+204x^400+112x^405+100x^410+112x^415+96x^420+40x^425+64x^430+36x^435+28x^440+12x^445+4x^480

The gray image is a linear code over GF(5) with n=485, k=6 and d=365.
This code was found by Heurico 1.16 in 1.85 seconds.