The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+57x^12+249x^14+680x^16+1233x^18+1851x^20+1894x^22+1272x^24+670x^26+219x^28+49x^30+15x^32+1x^34+1x^36

The gray image is a linear code over GF(2) with n=42, k=13 and d=12.
This code was found by Heurico 1.16 in 1 seconds.