Prime p₀= 2538156812572074401 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: arkiss
db: batch=82, k=10, 2 34 2 40 2

STPT(12)	2538155267652950039	0 2 12 14 42 44 48 50 78 80 90 92	-1544919124362
STPT(10)	2538155412185002637	0 2 24 26 42 44 60 62 84 86	-1400387071764
SPT(16)	2538155559003251071	0 10 30 78 100 112 118 120 280 282 288 300 322 370 390 400	-1253568823330
SPT(16)	2538155663870040349	0 24 28 42 88 90 102 120 142 160 172 174 220 234 238 262	-1148702034052
SPT(16)	2538155668862977027	0 30 124 156 196 222 252 256 390 394 424 450 490 522 616 646	-1143709097374
STPT(10)	2538156453758083979	0 2 42 44 60 62 78 80 120 122	-358813990422
STPT(10)	2538157158458817191	0 2 6 8 18 20 30 32 36 38	345886742790
SPT(16)	2538157346949247451	0 18 36 42 50 60 72 116 162 206 218 228 236 242 260 278	534377173050
SPT(16)	2538157371747357013	0 16 54 150 154 156 166 190 210 234 244 246 250 346 384 400	559175282612
STPT(10)	2538157919929868441	0 2 6 8 18 20 30 32 36 38	1107357794040
SPT(16)	2538158241627382093	0 4 46 54 76 88 90 154 240 304 306 318 340 348 390 394	1429055307692