B767 Captain reported a stick shaker while retracting the flaps on a departure procedure. The Captain indicated the crew elected to leave the flaps extended in the climb through 17;000 ft.; due to speed restriction on SID. The pilot flying started a turn and the aircraft began an unintended descent; at the same time flaps were retracted to a flaps 1 position. The combination of a turn; slower speed with flap retraction; and higher altitude resulted in a stick shaker. The PF accelerated the aircraft and resumed the climb.

Narrative

Departed ZZZZ on RNAV departure. Approximately 20nm from ZZZZZ flaps 5: 210 kt. indicated passing flight level 170. Pilot monitoring recommended switch to V/S to reduce climb rate to avoid reaching flap limit altitude prior to ZZZZZ. Pilot flying requested V/S. Pilot monitoring set V/S+700. ATC gave us a turn to 270 (our current heading ~ 250deg.) Pilot monitoring selected heading 270. Pilot flying started a turn to 270. Since off the SID; VNAV was selected. In the turn to 270 Pilot flying begin to descend. Pilot monitoring said 'you're descending'. We were accelerating past flaps 1 retraction speed so Pilot flying called for flaps 1. Pilot monitoring checked speed at 230kts and put flaps to 1 (225kt. indicated flap retract speed). As the flaps were moving pilot monitoring said 'you're still descending'. Pilot flying corrected the descent; but the pull up to stop the descent activated the stick shaker for less than 1/2 second due to the speed/ high altitude flap retraction. Even though we were past the flaps 5 retraction speed we had a very brief accelerated stall. Recovery was instantaneous. We continued to accelerate and clean up on schedule and proceeded uneventfully to altitude and as filed.