The generator matrix

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

generates a code of length 12 over Z5[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+560x^36+3840x^37+2592x^40+6720x^41+17280x^42+24000x^44+19312x^45+26880x^46+49920x^47+20000x^48+96000x^49+38496x^50+35840x^51+48960x^52+192x^55+32x^60

The gray image is a linear code over GF(5) with n=60, k=8 and d=36.
This code was found by Heurico 1.16 in 19.5 seconds.