The generator matrix

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

generates a code of length 58 over Z5[X]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+900x^216+380x^217+320x^218+740x^219+436x^220+3740x^221+2080x^222+1120x^223+1620x^224+468x^225+7640x^226+3420x^227+1520x^228+2280x^229+884x^230+10220x^231+4960x^232+2020x^233+2440x^234+552x^235+10200x^236+4600x^237+1820x^238+2100x^239+456x^240+6280x^241+2060x^242+700x^243+820x^244+264x^245+1020x^246+20x^250+4x^255+16x^260+12x^265+8x^270+4x^275

The gray image is a linear code over GF(5) with n=290, k=7 and d=216.
This code was found by Heurico 1.16 in 30.2 seconds.