The original '68 Fastback frames broke without warning at the steering head. In fact, there was an NHTS recall on them in late 1974. Norton replaced many frames under warranty with the frame with the small tube running to the lower end of the steering head. This frame was discontinued within the first few months of original production of the '68 Fastbacks.
The cure would be, assuming your frame is not already cracked, to weld a tube to the reinforce and strengthen the steering head as the factory did. It might be easier to find a replacement frame, preferrably one from a '69-'70 model. Those all have the replacement frame and the frame mounted centerstand.