The generator matrix

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

generates a code of length 26 over Z5[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+124x^85+368x^90+400x^95+2988x^100+10516x^105+536x^110+412x^115+200x^120+76x^125+4x^130

The gray image is a linear code over GF(5) with n=130, k=6 and d=85.
This code was found by Heurico 1.16 in 0.341 seconds.