The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  1  1
 0  X  0  0  0  0  0  X  0  X  X  0  0  X  X
 0  0  X  0  0  0  X  X  0  X  0  0  X  X  0
 0  0  0  X  0  0  X  0  0  X  X  X  X  0  0
 0  0  0  0  X  0  X  0  X  X  0  X  0  X  0
 0  0  0  0  0  X  X  0  X  0  X  0  0  X  X

generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+27x^12+32x^14+55x^16+12x^20+1x^28

The gray image is a linear code over GF(2) with n=30, k=7 and d=12.
As d=12 is an upper bound for linear (30,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.00136 seconds.