The generator matrix

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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 361.

Homogenous weight enumerator: w(x)=1x^0+820x^361+1320x^362+320x^363+240x^364+44x^365+1660x^366+2220x^367+420x^368+40x^369+36x^370+1220x^371+1580x^372+340x^373+60x^374+980x^376+860x^377+200x^378+60x^379+4x^380+620x^381+740x^382+100x^383+40x^384+12x^385+520x^386+600x^387+120x^388+60x^389+16x^390+180x^391+180x^392+12x^395

The gray image is a linear code over GF(5) with n=465, k=6 and d=361.
This code was found by Heurico 1.16 in 0.7 seconds.