The generator matrix

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

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+78x^9+170x^10+206x^11+299x^12+418x^13+540x^14+610x^15+570x^16+482x^17+330x^18+194x^19+117x^20+46x^21+16x^22+14x^23+5x^24

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 1.10 in 2.44 seconds.