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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 225.

Homogenous weight enumerator: w(x)=1x^0+88x^225+460x^230+832x^235+1076x^240+1348x^245+1524x^250+2500x^252+1652x^255+20000x^257+1744x^260+40000x^262+1576x^265+1532x^270+1344x^275+1108x^280+784x^285+384x^290+100x^295+48x^300+20x^305+4x^315

The gray image is a linear code over GF(5) with n=325, k=7 and d=225.
This code was found by Heurico 1.16 in 25.8 seconds.