The generator matrix

 1  0  0  0  0  0  1  1  1  X  X  1  1  1  0
 0  1  0  0  0  0  X  1  1  1  1 X+1 X+1  1  1
 0  0  1  0  0  0  0  0  0  1 X+1 X+1  X  X X+1
 0  0  0  1  0  0  1 X+1  X  1 X+1  X  0 X+1  0
 0  0  0  0  1  0  1  X X+1  1  0  0  X X+1  0
 0  0  0  0  0  1  1  0  X  0  1  X  1 X+1  X

generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+68x^9+169x^10+232x^11+307x^12+404x^13+522x^14+600x^15+582x^16+492x^17+338x^18+184x^19+101x^20+60x^21+26x^22+8x^23+1x^24+1x^26

The gray image is a linear code over GF(2) with n=30, k=12 and d=9.
As d=9 is an upper bound for linear (30,12,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 12.
This code was found by Heurico 1.16 in 0.718 seconds.