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

generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 359.

Homogenous weight enumerator: w(x)=1x^0+600x^359+1772x^360+1020x^361+280x^362+2820x^364+5068x^365+2640x^366+420x^367+3920x^369+6220x^370+3340x^371+480x^372+4500x^374+7236x^375+3640x^376+460x^377+4420x^379+6580x^380+3300x^381+300x^382+3440x^384+4772x^385+2440x^386+360x^387+2140x^389+3260x^390+980x^391+160x^392+660x^394+672x^395+140x^396+40x^397+20x^400+12x^405+8x^410+4x^440

The gray image is a linear code over GF(5) with n=470, k=7 and d=359.
This code was found by Heurico 1.16 in 16.8 seconds.