Prime p₀= 1042316675892874997 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: aendgraend
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1042315910719155011	0 20 38 42 62 78 120 150 188 218 260 276 296 300 318 338	-765173719986
SPT(16)	1042316218744464043	0 28 46 70 84 90 106 118 156 168 184 190 204 228 246 274	-457148410954
SPT(16)	1042316337926799503	0 14 18 66 80 84 86 116 168 198 200 204 218 266 270 284	-337966075494
SPT(16)	1042316396909908801	0 18 42 58 90 102 150 156 172 178 226 238 270 286 310 328	-278982966196
STPT(10)	1042316599058583377	0 2 42 44 72 74 102 104 144 146	-76834291620
SPT(16)	1042316666183755451	0 32 66 80 90 170 188 266 342 420 438 518 528 542 576 608	-9709119546
STPT(10)	1042316804082301217	0 2 30 32 42 44 54 56 84 86	128189426220
STPT(10)	1042316948143645079	0 2 42 44 90 92 138 140 180 182	272250770082
SPT(16)	1042316996396087147	0 2 32 42 60 74 84 110 114 140 150 164 182 192 222 224	320503212150
STPT(10)	1042317087271416569	0 2 18 20 30 32 42 44 60 62	411378541572
SPT(18)	1042317745169689927	0 30 46 126 186 210 214 240 316 354 430 456 460 484 544 624 640 670	1069276814930