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

generates a code of length 59 over Z5[X]/(X^2) who´s minimum homogenous weight is 205.

Homogenous weight enumerator: w(x)=1x^0+316x^205+752x^210+20x^213+992x^215+280x^218+1292x^220+1800x^223+1504x^225+7100x^228+1656x^230+17300x^233+1696x^235+22880x^238+1804x^240+13120x^243+1736x^245+1428x^250+1164x^255+788x^260+344x^265+112x^270+32x^275+4x^280+4x^285

The gray image is a linear code over GF(5) with n=295, k=7 and d=205.
This code was found by Heurico 1.16 in 23.3 seconds.