The generator matrix

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

generates a code of length 12 over Z5[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+84x^30+240x^35+420x^40+2500x^44+520x^45+10000x^49+944x^50+656x^55+260x^60

The gray image is a linear code over GF(5) with n=60, k=6 and d=30.
This code was found by Heurico 1.16 in 0.0789 seconds.