The generator matrix

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

generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+185x^8+1120x^10+1960x^12+5600x^14+3235x^16+3360x^18+728x^20+160x^22+35x^24

The gray image is a linear code over GF(2) with n=30, k=14 and d=8.
As d=8 is an upper bound for linear (30,14,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 14.
This code was found by Heurico 1.16 in 2.22 seconds.