The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+76x^65+100x^68+184x^70+800x^73+136x^75+1600x^78+72x^80+92x^85+36x^90+28x^95

The gray image is a linear code over GF(5) with n=95, k=5 and d=65.
This code was found by Heurico 1.16 in 0.0108 seconds.