The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+271x^10+1314x^12+3403x^14+7001x^16+8866x^18+6724x^20+3746x^22+1182x^24+223x^26+34x^28+3x^30

The gray image is a linear code over GF(2) with n=36, k=15 and d=10.
As d=10 is an upper bound for linear (36,15,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 15.
This code was found by Heurico 1.11 in 1110 seconds.