The generator matrix

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

generates a code of length 26 over Z5[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+480x^98+400x^99+32x^100+640x^103+200x^104+72x^105+880x^108+400x^109+16x^110+4x^120

The gray image is a linear code over GF(5) with n=130, k=5 and d=98.
This code was found by Heurico 1.16 in 0.00811 seconds.