Prime p₀= 2311854864656115587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2311852909737682517	0 12 26 110 140 150 152 162 170 180 182 192 222 306 320 332	-1954918433070
TPT(14)	2311853130693844007	0 2 12 14 30 32 90 92 114 116 210 212 240 242	-1733962271580
SPT(16)	2311853462218764593	0 38 48 78 110 128 260 290 306 336 468 486 518 548 558 596	-1402437350994
TPT(14)	2311854193166569211	0 2 30 32 108 110 180 182 270 272 336 338 408 410	-671489546376
STPT(10)	2311854513377899109	0 2 12 14 90 92 168 170 180 182	-351278216478
SPT(16)	2311854759219855251	0 72 80 86 98 150 216 266 282 332 398 450 462 468 476 548	-105436260336
SPT(16)	2311854963886351531	0 16 70 90 162 168 252 258 310 316 400 406 478 498 552 568	99230235944
TPT(14)	2311855182479080349	0 2 18 20 102 104 138 140 180 182 282 284 312 314	317822964762
STPT(10)	2311855605509393789	0 2 18 20 30 32 42 44 60 62	740853278202
SPT(16)	2311855730680021541	0 66 68 78 98 108 120 186 200 266 278 288 308 318 320 386	866023905954
SPT(16)	2311855984963267091	0 18 32 56 60 66 98 108 140 150 182 188 192 216 230 248	1120307151504