The generator matrix

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

generates a code of length 10 over Z5[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+240x^32+660x^33+44x^35+300x^36+1920x^37+1980x^38+2548x^40+1200x^41+3840x^42+2860x^43+12x^45+20x^50

The gray image is a linear code over GF(5) with n=50, k=6 and d=32.
This code was found by Heurico 1.16 in 0.0312 seconds.