Prime p₀= 2200777843211998007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2200776507595573547	0 12 80 126 132 156 194 264 332 402 440 464 470 516 584 596	-1335616424460
STPT(10)	2200776745282479179	0 2 12 14 30 32 48 50 60 62	-1097929518828
SPT(16)	2200776774049061869	0 64 78 84 138 148 154 168 220 234 240 250 304 310 324 388	-1069162936138
SPT(16)	2200777173277803487	0 16 30 70 72 220 240 262 264 286 306 454 456 496 510 526	-669934194520
SPT(16)	2200777355932568141	0 2 32 66 80 108 198 236 282 320 410 438 452 486 516 518	-487279429866
SPT(16)	2200777666190756561	0 32 62 96 98 102 140 146 192 198 236 240 242 276 306 338	-177021241446
SPT(16)	2200777989238163837	0 12 14 24 56 62 66 80 126 140 144 150 182 192 194 206	146026165830
STPT(10)	2200778725061037761	0 2 6 8 48 50 90 92 96 98	881849039754
STPT(10)	2200778762981187251	0 2 30 32 78 80 126 128 156 158	919769189244
STPT(10)	2200778896876950461	0 2 30 32 78 80 126 128 156 158	1053664952454
SPT(16)	2200779273031684271	0 20 38 68 80 98 122 132 146 156 180 198 210 240 258 278	1429819686264