The generator matrix

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

generates a code of length 20 over Z5[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+600x^74+228x^75+800x^79+172x^80+1100x^84+216x^85+4x^95+4x^100

The gray image is a linear code over GF(5) with n=100, k=5 and d=74.
This code was found by Heurico 1.16 in 0.00592 seconds.