The generator matrix

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

generates a code of length 28 over Z5[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+104x^85+556x^90+980x^95+1416x^100+2500x^104+1916x^105+20000x^109+2648x^110+40000x^114+2940x^115+2540x^120+1648x^125+664x^130+188x^135+24x^140

The gray image is a linear code over GF(5) with n=140, k=7 and d=85.
This code was found by Heurico 1.16 in 8.22 seconds.