The generator matrix

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

generates a code of length 11 over Z5[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+136x^35+500x^36+616x^40+4000x^41+2156x^45+8000x^46+160x^50+56x^55

The gray image is a linear code over GF(5) with n=55, k=6 and d=35.
This code was found by Heurico 1.16 in 0.0453 seconds.