The generator matrix

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

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+64x^45+180x^46+400x^48+192x^50+460x^51+500x^52+3200x^53+88x^55+1040x^56+2000x^57+6400x^58+128x^60+820x^61+128x^65+24x^70

The gray image is a linear code over GF(5) with n=70, k=6 and d=45.
This code was found by Heurico 1.16 in 0.0669 seconds.