Prime p₀= 1535157408629099621 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: crashtech
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1535156653369025161	0 10 12 16 88 90 102 118 150 166 178 180 252 256 258 268	-755260074460
TPT(14)	1535156801209849997	0 2 12 14 84 86 90 92 114 116 282 284 324 326	-607419249624
SPT(16)	1535156836521838169	0 2 14 128 168 194 230 254 258 282 318 344 384 498 510 512	-572107261452
TPT(14)	1535156946037377317	0 2 54 56 114 116 144 146 270 272 282 284 342 344	-462591722304
SPT(16)	1535157169973685133	0 24 28 96 100 106 126 150 154 178 198 204 208 276 280 304	-238655414488
SPT(16)	1535157260357987251	0 18 60 96 142 150 168 172 276 280 298 306 352 388 430 448	-148271112370
STPT(12)	1535157438281305337	0 2 30 32 42 44 102 104 114 116 144 146	29652205716
STPT(10)	1535158149739007501	0 2 36 38 78 80 120 122 156 158	741109907880
SPT(16)	1535158231588174871	0 42 86 90 96 108 140 150 188 198 230 242 248 252 296 338	822959075250
TPT(14)	1535158403415434207	0 2 54 56 60 62 174 176 210 212 300 302 384 386	994786334586
STPT(10)	1535158752595859117	0 2 24 26 42 44 60 62 84 86	1343966759496