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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 239.

Homogenous weight enumerator: w(x)=1x^0+1100x^239+300x^240+700x^244+200x^245+300x^249+24x^250+400x^254+100x^255

The gray image is a linear code over GF(5) with n=305, k=5 and d=239.
This code was found by Heurico 1.16 in 9.35 seconds.