The generator matrix

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

generates a code of length 10 over Z5[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+400x^29+92x^30+1500x^32+1800x^34+112x^35+5000x^36+12000x^37+5200x^39+2692x^40+20000x^41+24000x^42+5100x^44+152x^45+76x^50

The gray image is a linear code over GF(5) with n=50, k=7 and d=29.
This code was found by Heurico 1.16 in 1.82 seconds.