The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  0  X  X  0  X  X
 0  0  0  0  0  X  0  0  0  X  0  0  X  0  0  X  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  0  X  X  0  X  X
 0  0  0  0  0  0  0  X  0  X  X  X  0  X  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  X  X  0  0  X  X  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+210x^16+160x^18+320x^22+280x^24+32x^26+21x^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 0.725 seconds.