The generator matrix

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

generates a code of length 26 over Z5[X]/(X^2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+80x^91+80x^93+200x^94+584x^95+480x^96+360x^98+400x^99+528x^100+2280x^101+1040x^103+1100x^104+1184x^105+4180x^106+1020x^108+800x^109+712x^110+480x^111+12x^115+68x^120+28x^125+8x^130

The gray image is a linear code over GF(5) with n=130, k=6 and d=91.
This code was found by Heurico 1.16 in 68.9 seconds.