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

generates a code of length 71 over Z5[X]/(X^2) who´s minimum homogenous weight is 260.

Homogenous weight enumerator: w(x)=1x^0+112x^260+360x^265+20x^268+404x^270+320x^273+436x^275+1920x^278+340x^280+5120x^283+312x^285+5120x^288+292x^290+208x^295+212x^300+120x^305+132x^310+88x^315+48x^320+36x^325+20x^330+4x^335

The gray image is a linear code over GF(5) with n=355, k=6 and d=260.
This code was found by Heurico 1.16 in 1.2 seconds.