The generator matrix

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

generates a code of length 17 over Z5[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+120x^45+572x^50+1096x^55+4344x^60+23340x^65+43860x^70+2992x^75+1424x^80+376x^85

The gray image is a linear code over GF(5) with n=85, k=7 and d=45.
This code was found by Heurico 1.16 in 3.54 seconds.