The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1
 0  X  0  0  0  0  0  X  0  X  0  X  0  X  X  0  0  X  X  0  0
 0  0  X  0  0  0  X  X  0  X  0  0  X  0  X  0  X  0  X  0  0
 0  0  0  X  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  0  0
 0  0  0  0  X  0  X  0  X  X  0  X  0  0  X  X  0  0  X  0  0
 0  0  0  0  0  X  X  0  X  0  X  X  0  X  0  X  X  0  0  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+21x^16+42x^20+32x^22+25x^24+6x^28+1x^40

The gray image is a linear code over GF(2) with n=42, k=7 and d=16.
This code was found by Heurico 1.16 in 0.00167 seconds.