The generator matrix

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

generates a code of length 12 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+48x^10+44x^12+24x^14+3x^16+8x^18

The gray image is a linear code over GF(2) with n=24, k=7 and d=10.
As d=10 is an upper bound for linear (24,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.00556 seconds.