COBWEB — turn onto the right edge
Trace COBWEB from row 2, column 5. Move up to row 1, column 5, turn right to row 1, column 6, and then descend through row 2, column 6 and row 3, column 6 before finishing at row 4, column 6. The letters read C → O → B → W → E → B.
Number the cells as 1 at row 2, column 5; 2 at row 1, column 5; 3 at row 1, column 6; 4 at row 2, column 6; 5 at row 3, column 6; 6 at row 4, column 6. This path makes two turns and three straight segments across four rows and two columns. Five cells visit an edge, including one corner. Its start has three open orthogonal neighbors, its end has two, and accepting it leaves 24 open cells unassigned.