The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+240x^235+640x^240+2076x^245+52x^250+68x^260+20x^265+4x^270+8x^275+12x^285+4x^300

The gray image is a linear code over GF(5) with n=305, k=5 and d=235.
This code was found by Heurico 1.16 in 71.7 seconds.