In the generator matrix, the fourth and the sixth columns are swapped in order to achieve a quasi-cyclic matrix:
| |   1 0 0 0   1 1 1 0   | |
| G' |
| |   0 0 1 0   1 0 1 1   | |
| |   0 0 0 1   1 1 0 1   | |
Now, the code can be produced by a shift register
which corresponds to a tail-biting trellis with four times the same section:
We get the following realization: