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

generates a code of length 62 over Z5[X]/(X^2) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+132x^215+680x^220+844x^225+60x^226+1272x^230+640x^231+1436x^235+2900x^236+1532x^240+8800x^241+1772x^245+18900x^246+1568x^250+20640x^251+1708x^255+10560x^256+1640x^260+1296x^265+824x^270+572x^275+240x^280+84x^285+20x^290+4x^295

The gray image is a linear code over GF(5) with n=310, k=7 and d=215.
This code was found by Heurico 1.16 in 24.6 seconds.