First word: PHOTO
For PHOTO, begin at row 6, column 2 and step right to row 6, column 3. Turn upward to row 5, column 3, move left to row 5, column 2, and finish by going up to row 4, column 2. The letters read P → H → O → T → O through the directions right, up, left, and up.
Follow these five cells in order: 1 at row 6, column 2; 2 at row 6, column 3; 3 at row 5, column 3; 4 at row 5, column 2; 5 at row 4, column 2. The route turns three times, forms four straight segments, spans three rows and two columns, visits an edge twice, and visits no corner. Its start has two open orthogonal neighbors and its end has three. After this word, five cells are assigned and 21 remain.