The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+540x^69+1704x^70+1200x^71+100x^72+1620x^74+2296x^75+1100x^76+400x^77+2340x^79+3116x^80+1200x^81+4x^90+4x^95

The gray image is a linear code over GF(5) with n=95, k=6 and d=69.
This code was found by Heurico 1.16 in 11.5 seconds.