How are you testing continuity? Are you using an ohm meter? What ohms are you reading? The injectors probably all have source resistors going to a common rail (+12) so it would not be unusual to read that resistance, but one pin should read short and the rest some resistance. The schematic shows they all go directly to +12. Compare the readings to the same tests on a good coil circuit.

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1998 C230 330,000 miles (currently dead of second failed EIS, yours will fail too, turning you into the dealer's personal human cash machine)
1988 F150 144,000 miles (leaks all the colors of the rainbow)
Previous stars: 1981 Brava 210,000 miles, 1978 128 150,000 miles, 1977 B200 Van 175,000 miles, 1972 Vega (great, if rusty, car), 1972 Celica, 1986.5 Supra