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

generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+240x^220+728x^225+1020x^230+1264x^235+1436x^240+2500x^244+1568x^245+20000x^249+1600x^250+40000x^254+1776x^255+1604x^260+1644x^265+1136x^270+832x^275+480x^280+212x^285+60x^290+16x^295+4x^300+4x^305

The gray image is a linear code over GF(5) with n=315, k=7 and d=220.
This code was found by Heurico 1.16 in 25.2 seconds.