Prime p₀= 1041307749223327667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Theadalus
db: batch=76, k=10, 2 40 2 28 2

STPT(10)	1041306900397679099	0 2 18 20 30 32 42 44 60 62	-848825648568
STPT(10)	1041306904351923257	0 2 42 44 72 74 102 104 144 146	-844871404410
TPT(14)	1041306924464597951	0 2 18 20 30 32 138 140 198 200 240 242 336 338	-824758729716
STPT(10)	1041307405908473057	0 2 12 14 72 74 132 134 144 146	-343314854610
SPT(16)	1041307409684801011	0 18 42 46 48 82 100 130 168 198 216 250 252 256 280 298	-339538526656
TPT(14)	1041307605906716129	0 2 18 20 42 44 102 104 120 122 132 134 168 170	-143316611538
SPT(16)	1041307961376422239	0 10 24 34 84 112 118 142 210 234 240 268 318 328 342 352	212153094572
SPT(16)	1041308080279668107	0 14 30 32 96 126 134 156 200 222 230 260 324 326 342 356	331056340440
SPT(16)	1041308330644845013	0 46 60 76 90 108 144 150 214 220 256 274 288 304 318 364	581421517346
STPT(10)	1041308804793426821	0 2 36 38 78 80 120 122 156 158	1055570099154
STPT(10)	1041309077815163231	0 2 6 8 48 50 90 92 96 98	1328591835564