Prime p₀= 2746512794898182501 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: UBT - Timbo
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2746511624168780887	0 6 90 94 160 172 180 214 222 256 264 276 342 346 430 436	-1170729401614
SPT(16)	2746511868581844157	0 22 42 70 82 106 132 160 342 370 396 420 432 460 480 502	-926316338344
SPT(16)	2746511966427384607	0 34 60 82 162 174 190 226 270 306 322 334 414 436 462 496	-828470797894
STPT(10)	2746512163977251387	0 2 84 86 132 134 180 182 264 266	-630920931114
STPT(10)	2746512561268508297	0 2 42 44 72 74 102 104 144 146	-233629674204
SPT(16)	2746512645235684733	0 14 24 56 116 134 140 144 146 150 156 174 234 266 276 290	-149662497768
STPT(10)	2746513336662221549	0 2 132 134 150 152 168 170 300 302	541764039048
SPT(16)	2746513632566063099	0 12 20 48 78 120 138 180 182 224 242 284 314 342 350 362	837667880598
SPT(16)	2746514012689402253	0 8 78 90 116 134 138 146 168 176 180 198 224 236 306 314	1217791219752
STPT(10)	2746514136029016719	0 2 42 44 60 62 78 80 120 122	1341130834218
SPT(16)	2746514149512589459	0 12 28 54 58 72 84 90 202 208 220 234 238 264 280 292	1354614406958