The generator matrix

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

generates a code of length 6 over Z5[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+400x^12+80x^15+3000x^16+4800x^17+33120x^20+24000x^21+19200x^22+100000x^24+132264x^25+48000x^26+25600x^27+160x^30

The gray image is a linear code over GF(5) with n=30, k=8 and d=12.
This code was found by Heurico 1.16 in 3.31 seconds.