The generator matrix

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

generates a code of length 92 over Z5[X]/(X^2) who´s minimum homogenous weight is 351.

Homogenous weight enumerator: w(x)=1x^0+600x^351+1740x^352+780x^353+760x^354+620x^355+2620x^356+3540x^357+1860x^358+1200x^359+896x^360+3980x^361+5820x^362+2280x^363+1220x^364+1148x^365+5220x^366+5920x^367+2620x^368+1640x^369+1296x^370+3680x^371+5440x^372+2540x^373+1320x^374+996x^375+3640x^376+4520x^377+1580x^378+1040x^379+504x^380+1980x^381+2440x^382+720x^383+280x^384+116x^385+780x^386+580x^387+120x^388+40x^389+28x^390+4x^400+12x^405+4x^435

The gray image is a linear code over GF(5) with n=460, k=7 and d=351.
This code was found by Heurico 1.16 in 28.6 seconds.