The generator matrix

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

generates a code of length 16 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+92x^12+64x^14+205x^16+64x^18+76x^20+10x^24

The gray image is a linear code over GF(2) with n=32, k=9 and d=12.
As d=12 is an upper bound for linear (32,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.0699 seconds.