The generator matrix

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

generates a code of length 4 over Z5[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+24x^10+400x^12+48x^15+1000x^16+1600x^17+52x^20

The gray image is a linear code over GF(5) with n=20, k=5 and d=10.
This code was found by Heurico 1.16 in 0.000338 seconds.