The generator matrix

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

generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 241.

Homogenous weight enumerator: w(x)=1x^0+620x^241+180x^242+560x^243+1160x^244+436x^245+1160x^246+440x^247+780x^248+1340x^249+572x^250+1240x^251+340x^252+760x^253+720x^254+276x^255+980x^256+280x^257+500x^258+700x^259+164x^260+580x^261+260x^262+400x^263+580x^264+172x^265+420x^266+4x^270

The gray image is a linear code over GF(5) with n=315, k=6 and d=241.
This code was found by Heurico 1.16 in 0.378 seconds.