The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1
 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  0  X  X  X  0  X  X  0  0  X  X  0  0  0
 0  0  0  X  0  0  0  X  0  X  0  X  X  X  0  0  0  X  X  0  0
 0  0  0  0  X  0  0  X  0  0  X  X  X  0  X  0  X  X  0  0  0
 0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  X  X  0  0  0  0
 0  0  0  0  0  0  X  X  X  0  0  X  X  0  X  X  0  0  X  0  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+45x^16+129x^20+50x^24+30x^28+1x^36

The gray image is a linear code over GF(2) with n=42, k=8 and d=16.
This code was found by Heurico 1.16 in 6.29e-008 seconds.