The generator matrix

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

generates a code of length 7 over Z5[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+320x^20+200x^21+500x^24+1644x^25+1100x^26+5000x^28+2000x^29+3620x^30+1200x^31+40x^35

The gray image is a linear code over GF(5) with n=35, k=6 and d=20.
This code was found by Heurico 1.16 in 0.017 seconds.