The generator matrix

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

generates a code of length 17 over Z5[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+68x^50+344x^55+912x^60+4560x^65+8700x^70+696x^75+276x^80+68x^85

The gray image is a linear code over GF(5) with n=85, k=6 and d=50.
This code was found by Heurico 1.16 in 0.175 seconds.