The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+162x^16+128x^18+224x^20+128x^22+344x^24+32x^28+5x^32

The gray image is a linear code over GF(2) with n=42, k=10 and d=16.
As d=16 is an upper bound for linear (42,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 2.25 seconds.