The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1
 0  1  1  2  4  3  0 3X+1  2 3X+4  0  0
 0  0 3X  0  0  X  0 3X 3X 3X  X  0
 0  0  0  X  0 3X 2X 2X  X  X  X  0
 0  0  0  0 3X 4X 4X  X 4X  0 4X  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+80x^30+100x^32+264x^35+800x^37+1860x^40+2000x^42+5000x^44+12600x^45+3200x^47+20000x^49+24884x^50+6400x^52+680x^55+256x^60

The gray image is a linear code over GF(5) with n=60, k=7 and d=30.
This code was found by Heurico 1.16 in 0.905 seconds.