The generator matrix

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

generates a code of length 17 over Z5[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+80x^60+120x^61+180x^63+516x^65+360x^66+140x^68+1004x^70+520x^71+180x^73+16x^75+8x^85

The gray image is a linear code over GF(5) with n=85, k=5 and d=60.
This code was found by Heurico 1.16 in 0.00454 seconds.