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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+76x^220+324x^225+80x^229+440x^230+680x^234+412x^235+2480x^239+368x^240+5180x^244+324x^245+4080x^249+292x^250+272x^255+176x^260+208x^265+80x^270+68x^275+68x^280+12x^285+4x^290

The gray image is a linear code over GF(5) with n=305, k=6 and d=220.
This code was found by Heurico 1.16 in 0.991 seconds.