The generator matrix

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

generates a code of length 28 over Z5[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+352x^100+80x^101+100x^104+1720x^105+360x^106+800x^109+3024x^110+1040x^111+1600x^114+4556x^115+1020x^116+864x^120+56x^125+24x^130+20x^135+8x^140

The gray image is a linear code over GF(5) with n=140, k=6 and d=100.
This code was found by Heurico 1.16 in 0.175 seconds.