The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+520x^61+780x^62+460x^64+2004x^65+7620x^66+4980x^67+1800x^68+5520x^69+8832x^70+22020x^71+22880x^72+14400x^73+22080x^74+25056x^75+51020x^76+65180x^77+28800x^78+29440x^79+24572x^80+38820x^81+13680x^82+72x^85+88x^90

The gray image is a linear code over GF(5) with n=95, k=8 and d=61.
This code was found by Heurico 1.16 in 48.3 seconds.