The generator matrix

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

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+152x^40+100x^44+684x^45+1500x^48+1200x^49+2344x^50+2500x^52+12000x^53+4800x^54+5880x^55+10000x^57+24000x^58+6400x^59+5960x^60+468x^65+136x^70

The gray image is a linear code over GF(5) with n=70, k=7 and d=40.
This code was found by Heurico 1.16 in 1.35 seconds.