The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 230.

Homogenous weight enumerator: w(x)=1x^0+228x^230+60x^231+120x^232+320x^233+420x^234+968x^235+400x^236+520x^237+700x^238+480x^239+1192x^240+540x^241+520x^242+420x^243+540x^244+1316x^245+980x^246+920x^247+440x^248+800x^249+1356x^250+520x^251+420x^252+460x^253+260x^254+484x^255+160x^258+8x^260+24x^265+24x^270+8x^275+8x^280+4x^285+4x^290

The gray image is a linear code over GF(5) with n=305, k=6 and d=230.
This code was found by Heurico 1.16 in 0.453 seconds.