The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 228.

Homogenous weight enumerator: w(x)=1x^0+360x^228+1000x^229+380x^230+760x^231+1180x^232+2360x^233+3040x^234+1320x^235+1600x^236+2940x^237+3640x^238+5060x^239+1596x^240+2240x^241+3300x^242+4620x^243+6060x^244+2112x^245+2480x^246+4460x^247+5100x^248+6060x^249+1864x^250+2120x^251+2520x^252+3420x^253+3260x^254+752x^255+800x^256+600x^257+500x^258+520x^259+40x^260+24x^265+8x^270+20x^275+8x^280

The gray image is a linear code over GF(5) with n=305, k=7 and d=228.
This code was found by Heurico 1.16 in 9.54 seconds.