The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 237.

Homogenous weight enumerator: w(x)=1x^0+200x^237+200x^239+620x^240+880x^242+100x^244+268x^245+140x^247+200x^249+56x^250+180x^252+172x^255+100x^257+4x^265+4x^280

The gray image is a linear code over GF(5) with n=305, k=5 and d=237.
This code was found by Heurico 1.16 in 0.0432 seconds.