The generator matrix

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

generates a code of length 28 over Z5[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+680x^103+500x^104+200x^105+360x^106+780x^107+2380x^108+840x^109+600x^110+480x^111+440x^112+2200x^113+1020x^114+796x^115+660x^116+780x^117+2240x^118+640x^119+12x^120+12x^125+4x^130

The gray image is a linear code over GF(5) with n=140, k=6 and d=103.
This code was found by Heurico 1.16 in 0.141 seconds.