The generator matrix

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

generates a code of length 14 over Z5[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+48x^45+224x^50+500x^52+80x^55+2000x^57+120x^60+120x^65+32x^70

The gray image is a linear code over GF(5) with n=70, k=5 and d=45.
This code was found by Heurico 1.16 in 0.00703 seconds.