The generator matrix

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

generates a code of length 58 over Z5[X]/(X^2) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+364x^215+80x^216+280x^217+80x^218+1100x^219+2644x^220+1540x^221+1800x^222+360x^223+2500x^224+5628x^225+2800x^226+3060x^227+660x^228+3320x^229+7156x^230+3920x^231+4020x^232+560x^233+3640x^234+7348x^235+4340x^236+4180x^237+560x^238+3260x^239+5688x^240+2180x^241+1660x^242+280x^243+1180x^244+1720x^245+140x^246+32x^250+8x^255+16x^260+12x^265+8x^275

The gray image is a linear code over GF(5) with n=290, k=7 and d=215.
This code was found by Heurico 1.16 in 8.51 seconds.