The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+96x^220+40x^224+448x^225+360x^226+180x^227+420x^229+1024x^230+1880x^231+1480x^232+1160x^234+1624x^235+3160x^236+3380x^237+2360x^239+3128x^240+4960x^241+7180x^242+3660x^244+4076x^245+7960x^246+8680x^247+3620x^249+3392x^250+5000x^251+4100x^252+1240x^254+1216x^255+1680x^256+172x^260+168x^265+148x^270+64x^275+40x^280+24x^285+4x^290

The gray image is a linear code over GF(5) with n=305, k=7 and d=220.
This code was found by Heurico 1.16 in 11.5 seconds.