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

generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+96x^240+196x^245+500x^248+112x^250+2000x^253+84x^255+32x^260+32x^265+20x^270+8x^275+12x^280+20x^285+8x^290+4x^310

The gray image is a linear code over GF(5) with n=315, k=5 and d=240.
This code was found by Heurico 1.16 in 0.072 seconds.