Prime p₀= 2355535744089710009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Xenon
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2355535020829622417	0 14 44 74 84 122 144 156 200 212 234 272 282 312 342 356	-723260087592
TPT(14)	2355535340365898231	0 2 60 62 186 188 228 230 300 302 378 380 498 500	-403723811778
SPT(16)	2355535363303873783	0 18 30 36 70 76 88 118 126 156 168 174 208 214 226 244	-380785836226
SPT(16)	2355535506391554337	0 22 30 42 54 100 112 120 166 174 186 232 244 256 264 286	-237698155672
SPT(16)	2355535552711968751	0 10 46 88 106 120 132 172 336 376 388 402 420 462 498 508	-191377741258
STPT(10)	2355535604497773947	0 2 12 14 72 74 132 134 144 146	-139591936062
STPT(10)	2355535760257598507	0 2 30 32 42 44 54 56 84 86	16167888498
SPT(16)	2355535863449953141	0 48 52 72 90 102 112 118 150 156 166 178 196 216 220 268	119360243132
STPT(10)	2355536074857702167	0 2 54 56 72 74 90 92 144 146	330767992158
STPT(10)	2355536172143516027	0 2 30 32 42 44 54 56 84 86	428053806018
SPT(16)	2355536407573461127	0 4 22 42 60 100 120 126 130 136 156 196 214 234 252 256	663483751118