The generator matrix

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

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+80x^50+120x^52+324x^55+100x^56+720x^57+1928x^60+1200x^61+3120x^62+12540x^65+4800x^66+11120x^67+24700x^70+6400x^71+9920x^72+704x^75+296x^80+52x^85

The gray image is a linear code over GF(5) with n=85, k=7 and d=50.
This code was found by Heurico 1.16 in 1.9 seconds.