The generator matrix

 1  0  0  0  0  0  1  1  1  1  1  0  1  1  0
 0  1  0  0  0  0  0  0  0  1  X  1  1  X  0
 0  0  1  0  0  0  0  0  1  1  1  X X+1  1  0
 0  0  0  1  0  0  0  1  0  1 X+1 X+1  X  1  0
 0  0  0  0  1  0  1  1 X+1  0  X  1 X+1  0  0
 0  0  0  0  0  1  1  0  X X+1  X  0  0 X+1  0
 0  0  0  0  0  0  X  0  0  X  0  0  X  0  X
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  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+284x^8+928x^10+2661x^12+4272x^14+4457x^16+2496x^18+1034x^20+240x^22+10x^24+1x^28

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 4.14 seconds.