The generator matrix

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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 355.

Homogenous weight enumerator: w(x)=1x^0+820x^355+1360x^356+900x^357+240x^358+260x^359+4040x^360+3660x^361+2080x^362+340x^363+500x^364+5004x^365+5060x^366+3520x^367+480x^368+480x^369+6160x^370+5300x^371+2920x^372+520x^373+460x^374+6408x^375+5140x^376+2440x^377+560x^378+440x^379+4232x^380+4520x^381+1760x^382+260x^383+260x^384+2972x^385+2060x^386+1100x^387+100x^388+100x^389+932x^390+400x^391+280x^392+28x^395+12x^400+4x^405+4x^410+8x^420

The gray image is a linear code over GF(5) with n=465, k=7 and d=355.
This code was found by Heurico 1.16 in 14.6 seconds.