Prime p₀= 2709040381239212651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2709039497760213619	0 52 78 102 108 148 190 222 238 270 312 352 358 382 408 460	-883478999032
STPT(10)	2709039543165596651	0 2 6 8 48 50 90 92 96 98	-838073616000
SPT(16)	2709039993121585199	0 20 32 48 74 98 114 152 270 308 324 348 374 390 402 422	-388117627452
SPT(16)	2709040148381317963	0 16 64 66 78 84 144 148 156 160 220 226 238 240 288 304	-232857894688
SPT(16)	2709040266216861341	0 30 48 62 66 98 140 162 176 198 240 272 276 290 308 338	-115022351310
SPT(16)	2709040309281375389	0 14 48 162 168 182 204 210 242 248 270 284 290 404 438 452	-71957837262
SPT(16)	2709040524154991633	0 8 14 38 84 194 224 266 288 330 360 470 516 540 546 554	142915778982
STPT(10)	2709040743717166487	0 2 30 32 72 74 114 116 144 146	362477953836
STPT(10)	2709041008644357599	0 2 42 44 60 62 78 80 120 122	627405144948
SPT(16)	2709041141523785381	0 48 56 68 80 108 126 150 218 242 260 288 300 312 320 368	760284572730
STPT(10)	2709041480396605097	0 2 42 44 72 74 102 104 144 146	1099157392446