Prime p₀= 2727840067035581567 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=82, k=10, 2 22 2 16 2

STPT(10)	2727837897549976997	0 2 30 32 60 62 90 92 120 122	-2169485604570
STPT(10)	2727838019082365009	0 2 42 44 60 62 78 80 120 122	-2047953216558
SPT(16)	2727838397229707089	0 12 40 42 48 72 138 168 172 202 268 292 298 300 328 340	-1669805874478
SPT(16)	2727838783114136851	0 42 46 52 60 82 130 148 150 168 216 238 246 252 256 298	-1283921444716
SPT(16)	2727839017710747427	0 12 36 106 126 156 160 232 264 336 340 370 390 460 484 496	-1049324834140
STPT(10)	2727839220363443279	0 2 30 32 60 62 90 92 120 122	-846672138288
STPT(12)	2727840094412944781	0 2 30 32 156 158 180 182 306 308 336 338	27377363214
STPT(10)	2727840281951793257	0 2 30 32 42 44 54 56 84 86	214916211690
SPT(16)	2727840599308594037	0 6 20 30 92 146 176 182 234 240 270 324 386 396 410 416	532273012470
SPT(16)	2727840689863860331	0 28 40 46 48 60 106 118 180 192 238 250 252 258 270 298	622828278764
STPT(10)	2727840833159295611	0 2 6 8 18 20 30 32 36 38	766123714044