Prime p₀= 2016238578231407987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2016237544848396257	0 6 14 62 86 174 240 246 350 356 422 510 534 582 590 596	-1033383011730
SPT(16)	2016238053813711209	0 20 54 72 80 84 98 152 210 264 278 282 290 308 342 362	-524417696778
SPT(16)	2016238090202157193	0 30 126 144 210 220 228 238 306 316 324 334 400 418 514 544	-488029250794
STPT(10)	2016238228915328447	0 2 30 32 42 44 54 56 84 86	-349316079540
STPT(10)	2016238557574036097	0 2 30 32 42 44 54 56 84 86	-20657371890
SPT(16)	2016238561810650431	0 18 72 86 150 158 182 200 258 276 300 308 372 386 440 458	-16420757556
SPT(16)	2016238999189414067	0 6 80 90 92 102 104 116 210 222 224 234 236 246 320 326	420958006080
SPT(16)	2016239305385636677	0 10 142 196 264 286 346 364 372 390 450 472 540 594 726 736	727154228690
STPT(10)	2016239520859118309	0 2 18 20 30 32 42 44 60 62	942627710322
SPT(16)	2016239687698044461	0 32 50 146 158 210 242 252 266 276 308 360 372 468 486 518	1109466636474
STPT(10)	2016239774444716661	0 2 36 38 78 80 120 122 156 158	1196213308674