It is recommended to calibrate chemical shift in SSNMR according to DSS or TMS instead of TSP. Relationships between adamantane / DSS / TMS chemical shifts are mentionned in the IUPAC recommendation for referencing NMR chemical shift http://onlinelibrary.wiley.com/doi/10.1002/mrc.2225/pdf :

δ 1% TMS in CDCl3 MAS = δneat TMS MAS − 0.71 ppm = δ 0.5% DSS in D2O MAS − 2.72 ppm = δ solid adamantane MAS + 37.77 ppm

Therefore, if you can measure for example the difference between DSS and TSP, you will be able to obtain the right values of chemical shifts. I hope this will help you.

Thank you Gildas.