Prime p₀= 2159706197798622827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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=81, k=10, 2 10 2 58 2

STPT(10)	2159704896178438751	0 2 6 8 18 20 30 32 36 38	-1301620184076
STPT(10)	2159704957858477199	0 2 18 20 30 32 42 44 60 62	-1239940145628
SPT(16)	2159705255060485651	0 28 30 96 100 192 198 208 210 220 226 318 322 388 390 418	-942738137176
SPT(16)	2159705588758192577	0 14 36 102 114 116 152 156 200 204 240 242 254 320 342 356	-609040430250
SPT(16)	2159705780913335129	0 24 54 60 72 74 144 212 222 290 360 362 374 380 410 434	-416885287698
TPT(14)	2159706086398850447	0 2 54 56 120 122 150 152 204 206 360 362 402 404	-111399772380
SPT(16)	2159706214308395839	0 28 34 48 94 120 150 232 240 322 352 378 424 438 444 472	16509773012
SPT(16)	2159706279939505811	0 56 78 90 120 122 140 156 272 288 306 308 338 350 372 428	82140882984
TPT(14)	2159706341474570657	0 2 30 32 60 62 84 86 150 152 240 242 312 314	143675947830
STPT(10)	2159706543161788631	0 2 48 50 108 110 168 170 216 218	345363165804
STPT(10)	2159706756152600927	0 2 24 26 42 44 60 62 84 86	558353978100