Prime p₀= 2775813197506566827 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2775811790885497841	0 2 36 38 78 80 120 122 156 158	-1406621068986
TPT(14)	2775811821550405217	0 2 54 56 114 116 150 152 192 194 222 224 240 242	-1375956161610
STPT(10)	2775811958112306959	0 2 18 20 30 32 42 44 60 62	-1239394259868
STPT(10)	2775812112045595331	0 2 36 38 78 80 120 122 156 158	-1085460971496
SPT(20)	2775812872624874821	0 18 40 48 72 76 82 112 138 142 156 160 186 216 222 226 250 258 280 298	-324881692006
TPT(16)	2775813066036419879	0 2 30 32 120 122 198 200 252 254 288 290 402 404 462 464	-131470146948
STPT(10)	2775813287229083999	0 2 42 44 60 62 78 80 120 122	89722517172
STPT(10)	2775813505210842539	0 2 18 20 60 62 102 104 120 122	307704275712
STPT(10)	2775813566605160909	0 2 42 44 60 62 78 80 120 122	369098594082
SPT(18)	2775813766153356611	0 12 20 56 62 96 116 140 156 242 258 282 302 336 342 378 386 398	568646789784
STPT(10)	2775813769520980541	0 2 66 68 108 110 150 152 216 218	572014413714