Prime p₀= 2202431731136951129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 16 2

STPT(12)	2202430973376767927	0 2 24 26 54 56 180 182 210 212 234 236	-757760183202
SPT(16)	2202431193758455787	0 12 24 26 44 66 102 114 152 164 200 222 240 242 254 266	-537378495342
SPT(16)	2202431357248582477	0 6 64 70 120 184 190 196 210 216 222 286 336 342 400 406	-373888368652
STPT(10)	2202431436104602457	0 2 42 44 72 74 102 104 144 146	-295032348672
SPT(16)	2202431525021029741	0 70 136 160 162 190 216 220 318 322 348 376 378 402 468 538	-206115921388
TPT(14)	2202431556019625471	0 2 6 8 30 32 126 128 228 230 426 428 456 458	-175117325658
SPT(16)	2202432041205368129	0 2 42 44 48 80 92 122 180 210 222 254 258 260 300 302	310068417000
STPT(10)	2202432070661887157	0 2 30 32 60 62 90 92 120 122	339524936028
SPT(16)	2202432242071872659	0 2 44 50 72 90 92 132 212 252 254 272 294 300 342 344	510934921530
SPT(16)	2202432360510529117	0 46 66 102 112 124 166 172 174 180 222 234 244 280 300 346	629373577988
SPT(16)	2202432900150728639	0 8 32 42 50 62 98 120 140 162 198 210 218 228 252 260	1169013777510