The generator matrix

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

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+136x^60+480x^61+1320x^62+800x^63+200x^64+1004x^65+1440x^66+1760x^67+400x^68+800x^69+1952x^70+2080x^71+2420x^72+800x^73+24x^75+8x^80

The gray image is a linear code over GF(5) with n=85, k=6 and d=60.
This code was found by Heurico 1.16 in 0.0576 seconds.