The generator matrix

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

generates a code of length 14 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+37x^10+70x^11+64x^12+58x^13+55x^14+76x^15+59x^16+36x^17+35x^18+14x^19+4x^20+2x^21+1x^22

The gray image is a linear code over GF(2) with n=28, k=9 and d=10.
As d=10 is an upper bound for linear (28,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.10 in 0.016 seconds.