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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+156x^210+452x^215+948x^220+1232x^225+100x^228+1296x^230+1600x^233+1508x^235+9600x^238+1552x^240+25600x^243+1692x^245+25600x^248+1668x^250+1756x^255+1436x^260+936x^265+540x^270+284x^275+128x^280+40x^285

The gray image is a linear code over GF(5) with n=305, k=7 and d=210.
This code was found by Heurico 1.16 in 24 seconds.