The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+12x^70+84x^75+500x^76+20x^80+8x^95

The gray image is a linear code over GF(5) with n=95, k=4 and d=70.
This code was found by Heurico 1.16 in 0.00109 seconds.