Prime p₀= 2291135722490574527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2291134259660530607	0 24 26 30 44 140 170 212 264 306 336 432 446 450 452 476	-1462830043920
SPT(16)	2291134678738597117	0 24 90 96 112 142 216 306 340 430 504 534 550 556 622 646	-1043751977410
SPT(16)	2291134799513411869	0 28 34 42 64 70 78 84 118 124 132 138 160 168 174 202	-922977162658
STPT(10)	2291134986075172379	0 2 18 20 30 32 42 44 60 62	-736415402148
SPT(16)	2291135289752744783	0 14 56 66 78 110 126 150 164 188 204 236 248 258 300 314	-432737829744
SPT(16)	2291135704514034149	0 30 44 102 104 120 140 182 192 234 254 270 272 330 344 374	-17976540378
TPT(14)	2291135734919123429	0 2 42 44 72 74 120 122 138 140 150 152 198 200	12428548902
STPT(10)	2291136060059306261	0 2 6 8 48 50 90 92 96 98	337568731734
STPT(10)	2291136174196811057	0 2 84 86 132 134 180 182 264 266	451706236530
SPT(16)	2291136214248534031	0 16 18 22 30 70 100 112 186 198 228 268 276 280 282 298	491757959504
SPT(16)	2291136220690271341	0 6 78 88 102 132 168 178 210 220 256 286 300 310 382 388	498199696814