The generator matrix

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

generates a code of length 14 over Z5[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+120x^40+388x^45+444x^50+2500x^52+680x^55+10000x^57+900x^60+460x^65+132x^70

The gray image is a linear code over GF(5) with n=70, k=6 and d=40.
This code was found by Heurico 1.16 in 0.123 seconds.