Prime p₀= 2317847828426631269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2317846000005262457	0 24 26 30 54 96 126 134 156 164 194 236 260 264 266 290	-1828421368812
SPT(16)	2317846111068005831	0 56 92 110 140 152 216 222 230 236 300 312 342 360 396 452	-1717358625438
STPT(10)	2317846299943857869	0 2 18 20 30 32 42 44 60 62	-1528482773400
SPT(16)	2317846490323547059	0 22 24 30 42 84 100 114 148 162 178 220 232 238 240 262	-1338103084210
SPT(16)	2317846831819850053	0 4 10 46 78 90 126 136 228 238 274 286 318 354 360 364	-996606781216
TPT(14)	2317847048084682197	0 2 12 14 30 32 144 146 150 152 252 254 312 314	-780341949072
SPT(16)	2317848159288718939	0 4 70 84 88 130 148 208 210 270 288 330 334 348 414 418	330862087670
STPT(10)	2317848175456056569	0 2 18 20 30 32 42 44 60 62	347029425300
SPT(16)	2317848268546419841	0 22 70 72 100 102 108 136 162 190 196 198 226 228 276 298	440119788572
STPT(10)	2317848370426001849	0 2 18 20 60 62 102 104 120 122	541999370580
STPT(10)	2317848444700103057	0 2 30 32 42 44 54 56 84 86	616273471788