Elegant,
I just called my dealer to order TPM sensors for my C7, he provided a part number of 13581559. I asked him to see what the PN 19119416 that you provided was for, he looked it up, and said it is for a package of 16 sensors for export only, probably Europe, running on frequency 433. The part number that his computer shows for U.S. C7's, 13581559, runs on frequency 315.
I'm assuming he is correct, he seemed competent. ???