Prime p₀= 2317781500411750517 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: Orange Kid
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2317780397737180069	0 22 24 42 58 70 72 84 88 100 102 114 130 148 150 172	-1102674570448
STPT(10)	2317780406899231739	0 2 12 14 90 92 168 170 180 182	-1093512518778
SPT(16)	2317780774320406429	0 24 42 52 100 108 112 150 172 210 214 222 270 280 298 322	-726091344088
TPT(14)	2317780956735059831	0 2 66 68 108 110 120 122 306 308 378 380 450 452	-543676690686
STPT(10)	2317781345819350421	0 2 6 8 48 50 90 92 96 98	-154592400096
SPT(16)	2317781495456609531	0 18 42 68 86 122 150 152 186 188 216 252 270 296 320 338	-4955140986
STPT(10)	2317781595841647491	0 2 6 8 108 110 210 212 216 218	95429896974
SPT(16)	2317781982762385897	0 76 102 106 142 172 174 270 286 382 384 414 450 454 480 556	482350635380
STPT(10)	2317782008517473117	0 2 42 44 72 74 102 104 144 146	508105722600
STPT(10)	2317782087767831981	0 2 6 8 18 20 30 32 36 38	587356081464
SPT(16)	2317782125958646843	0 30 60 108 124 126 144 168 196 220 238 240 256 304 334 364	625546896326