The generator matrix

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

generates a code of length 12 over Z5[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+792x^40+4912x^45+9696x^50+192x^55+32x^60

The gray image is a linear code over GF(5) with n=60, k=6 and d=40.
This code was found by Heurico 1.16 in 1.34 seconds.